Advertisements
Advertisements
Question
Two angles of a hexagon are 120° and 160°. If the remaining four angles are equal, find each equal angle.
Advertisements
Solution
Two angles of a hexagon are 120°, 160°
Let the remaining four angles be x, x, x and x.
Their sum = 4x + 280°
But the sum of all the interior angles of a hexagon
= (6 - 2) × 180°
= 4 × 180° = 720°
∴ 4x + 280° = 720°
⇒ 4x = 720° - 280° = 440°
⇒ x = 110°
∴ Equal angles are 110° (each)
APPEARS IN
RELATED QUESTIONS
Calculate the sum of angle of a polygon with: 20 sides
Find the number of sides in a polygon if the sum of its interior angle is: 900°
Find the number of sides in a polygon if the sum of its interior angle is: 1620°
Is it possible to have a polygon, whose sum of interior angle is: 2340°
Is it possible to have a polygon, whose sum of interior angle is: 4500°
Two angles of a polygon are right angles and the remaining are 120° each. Find the number of sides in it.
In a hexagon ABCDEF, side AB is parallel to side FE and ∠B : ∠C : ∠D : ∠E = 6 : 4 : 2 : 3. Find ∠B and ∠D.
In a pentagon, two angles are 40° and 60°, and the rest are in the ratio 1 : 3 : 7. Find the biggest angle of the pentagon.
How many triangles are formed when all diagonals are drawn from one vertex of an octagon?
A polygon has an interior angle sum of 900°. How many sides does it have?
