Question

The measures of two angle of a quadrilateral are 115° and 45° and the other two angles<br />are equal. Find the measure of each of the equal angles.<br />​

Answer 1

QUESTION :-

The measures of two angle of a quadrilateral are 115° and 45° and the other two angles. Then find the two angles

SOLUTION :-

Given two angles are 115° and 45°

The other two angles are equal

Let the other two angles be x

As we know that sum of angles in a quadrilateral = 360°

115° + 45° + x° + x° = 360°

160 + 2x = 360

2x = 360 - 160

2x = 200

x = 200/2

x = 100°

Therefore the other two angles are 100° each

Answer 2

Let the equal angles be x

Sum of all angles of a quadrilateral=360°

115°+45°+x+x=360°

160°+2x=360°

2x=360°-160°

2x=200°

x=200°÷2

x=100°