#### Chapters

Chapter 2: Profit , Loss and Discount

Chapter 3: Compound Interest

Chapter 4: Expansions

Chapter 5: Factorisation

Chapter 6: Changing the subject of a formula

Chapter 7: Linear Equations

Chapter 8: Simultaneous Linear Equations

Chapter 9: Indices

Chapter 10: Logarithms

Chapter 11: Triangles and their congruency

Chapter 12: Isosceles Triangle

Chapter 13: Inequalities in Triangles

Chapter 14: Constructions of Triangles

Chapter 15: Mid-point and Intercept Theorems

Chapter 16: Similarity

Chapter 17: Pythagoras Theorem

Chapter 18: Rectilinear Figures

Chapter 19: Quadrilaterals

Chapter 20: Constructions of Quadrilaterals

Chapter 21: Areas Theorems on Parallelograms

Chapter 22: Statistics

Chapter 23: Graphical Representation of Statistical Data

Chapter 24: Perimeter and Area

Chapter 25: Surface Areas and Volume of Solids

Chapter 26: Trigonometrical Ratios

Chapter 27: Trigonometrical Ratios of Standard Angles

Chapter 28: Coordinate Geometry

## Chapter 18: Rectilinear Figures

### Frank solutions for Class 9 Maths ICSE Chapter 18 Rectilinear Figures Exercise 18.1

Find the sum of the interior angles of a polygon of: 7 sides

Find the sum of the interior angles of a polygon of: 12 sides

Find the sum of the interior angles of a polygon of: 9 sides

Find the measure of each interior angle of a regular polygon of: 6 sides

Find the measure of each interior angle of a regular polygon of: 10 sides

Find the measure of each interior angle of a regular polygon of: 15 sides

Find each exterior angle of a regular polygon of: 9 sides

Find each exterior angle of a regular polygon of: 15 sides

Find each exterior angle of a regular polygon of: 18 sides

Find the number of sides in a regular polygon, when each interior angle is: 120°

Find the number of sides in a regular polygon, when each interior angle is: 140°

Find the number of sides in a regular polygon, when each interior angle is: 135°

Find the number of sides in a regular polygon, when each exterior angle is: 20°

Find the number of sides in a regular polygon, when each exterior angle is: 60°

Find the number of sides in a regular polygon, when each exterior angle is: 72°

The angles of a pentagon are 100°, 96°, 74°, 2x° and 3x°. Find the measures of the two angles 2x° and 3x°.

The three angles of a quadrilateral are 71°, 110°, 95°. Find its fourth angle.

Find the angles of a pentagon which are in the ratio 4: 4: 6: 7: 6.

Find the angles of a quadrilateral whose angles are in the ratio 1: 4: 5: 2.

The angles of a pentagon are x°, (x - 10)°, (x + 20)°, (2x - 44)° and (2x - 70)°. Find the angles.

The angles of a hexagon are (2x + 5)°, (3x - 5)°, (x + 40)°, (2x + 20)°, (2x + 25)° and (2x + 35)°. Find the value of x.

One angle of a hexagon is 140° and the remaining angles are in the ratio 4 : 3 : 4 : 5 : 4. Calculate the measures of the smallest and the largest angles.

One angle of a pentagon is 160° and the rest are all equal angles. Find the measure of the equal angles.

Calculate the measure of each angle of a nonagon.

Calculate the measure of each angle of a regular polygon of 20 sides.

Is it possible to have a polygon whose sum of interior angles is 780°?

Is it possible to have a polygon whose sum of interior angles is 7 right angles?

Is it possible to have a polygon whose each interior angle is 124°?

Is it possible to have a polygon whose each interior angle is 105°?

A heptagon has three angles equal to 120°, and the other four angles are equal. Find all the angles.

In a pentagon ABCDE, AB || ED and ∠B = 140°, ∠C = 2x° and ∠D = 3x°. Find ∠C and ∠D

In a polygon, there are 3 right angles and the remaining angles are equal to 165°. Find the number of sides in the polygon.

ABCDE is a pentagon in which AB is parallel to DC and ∠A : ∠E : ∠D = 1 : 2 : 3. Find angle A.

If the difference between an exterior angle of a regular polygon of 'n' sides and an exterior angle of another regular polygon of '(n + 1)' sides is equal to 4°; find the value of 'n'.

The number of sides of two regular polygons are in the ratio 2 : 3 and their interior angles are in the ratio 9 : 10. Find the number of sides of each polygon.

KL, LM and MN are three consecutive sides of a regular polygon. If ∠LKM = 20°, find the interior angle of the polygon and the number of sides of the polygon.

The ratio between the number of sides of two regular polygon is 3 : 4 and the ratio between their interior angles is 2 : 3. Find the number of sides of each polygon.

Find the value of each angle of a heptagon If three of its angles measure 132° each and the remaining four.

Find the value of each angle of an octagon if two of its angles are 148° and 152° and the remaining angles are all equal.

Find the value of each angle of an octagon if four of its angles are equal and the other four are each greater than these by 20°.

The exterior angle of a regular polygon is one-third of its interior angle. Find the number of sides of the polygon.

The number angle of a regular polygon is double the exterior angle. Find the number of sides of the polygon.

The sum of the interior angles of a polygon is 6.5 times the sum of its exterior angles. Find the number of sides of the polygon.

The difference between an exterior angle of (n - 1) sided regular polygon and an exterior angle of (n + 2) sided regular polygon is 6°. Find the value of n.

In a pentagon PQRST, ∠P = 100°, ∠Q = 120° and ∠S = ∠T. The sides PQ and SR, when produced meet at right angle. Find ∠QRS and ∠PTS.

In a hexagon JKLMNO, side JK || ON and ∠K : ∠L : ∠M : ∠N = 6 : 5 : 4 : 3. Find the angle ∠K and ∠M.

In a regular pentagon PQRST, PR = QT intersect at N. Find the angle RQT and QNP.

Each exterior angle of a regular polygon is `(1)/"P" `times of its interior angle. Find the number of sides in the polygon.

Each interior angle of a regular polygon is 162°. Another regular polygon has number of sides double the first polygon. Find each interior angle of the second polygon.

## Chapter 18: Rectilinear Figures

## Frank solutions for Class 9 Maths ICSE chapter 18 - Rectilinear Figures

Frank solutions for Class 9 Maths ICSE chapter 18 (Rectilinear Figures) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Class 9 Maths ICSE solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 9 Maths ICSE chapter 18 Rectilinear Figures are Introduction of Rectilinear Figures, Names of Polygons, Concept of Quadrilaterals - Sides, Adjacent Sides, Opposite Sides, Angle, Adjacent Angles and Opposite Angles, Diagonal Properties of Different Kinds of Parallelograms, Property: The Diagonals of a Rectangle Are of Equal Length., Property: The diagonals of a square are perpendicular bisectors of each other., Types of Quadrilaterals, Property: The Opposite Sides of a Parallelogram Are of Equal Length., Property: The Opposite Angles of a Parallelogram Are of Equal Measure., Property: The diagonals of a rhombus are perpendicular bisectors of one another..

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