Advertisements
Advertisements
Question
Two angles of a quadrilateral are 68° and 76°. If the other two angles are in the ratio 5 : 7; find the measure of each of them.
Advertisements
Solution
Two angles are 68° and 76°
Let other two angles be 5x and 7x
68° + 76°+ 5x + 7x = 360°
12x + 144° = 360°
12x = 360° – 144°
12x = 216°
x = 18°
angles are 5x and 7x
i.e. 5 x 18° and 7 x 18° i.e. 90° and 126°
APPEARS IN
RELATED QUESTIONS
In a quadrilateral, define of the following Vertices .
Complete of the following, so as to make a true statement:
A quadrilateral has ..... vertices, no three of which are .....
Complete of the following, so as to make a true statement:
A quadrilateral has .... diagonals.
In Fig. 16.19, ABCD is a quadrilateral.
How many pairs of opposite angles are there?
PQRSTU is a regular hexagon. Determine each angle of ΔPQT.
In the given figure, ABCD is a trapezium. Find the values of x and y.
If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that ∠C + ∠D = k ∠AOB, then find the value of k.
In quadrilateral ABCD, side AB is parallel to side DC. If ∠A : ∠D = 1 : 2 and ∠C : ∠B = 4 : 5
(i) Calculate each angle of the quadrilateral.
(ii) Assign a special name to quadrilateral ABCD
Two opposite angles of a parallelogram are 100° each. Find each of the other two opposite angles.
In a parallelogram ABCD, its diagonals AC and BD intersect each other at point O.
If AC = 12 cm and BD = 9 cm ; find; lengths of OA and OD.
In parallelogram ABCD, its diagonals intersect at point O. If OA = 6 cm and OB = 7.5 cm, find the length of AC and BD.
ABCD is a quadrilateral in which AB || DC and AD = BC. Prove that ∠A = ∠B and ∠C = ∠D.
What is the maximum number of obtuse angles that a quadrilateral can have?
The diagonals of the quadrilateral DEFG are ______ and ______.
A pair of opposite sides of a trapezium are ______.
In the following figure, name any two angles that appear to be obtuse angles.
Using the information given, name the right angles in part of figure:
AC ⊥ BD
Using the information given, name the right angles in part of figure:
RS ⊥ RW
Which of the following represents the vertices of quadrilateral ABCD?
