Two angles of a quadrilateral measure 85° and 75° respectively. The other two angles are equal. Find the measure of each of these equal angles.

Question

Two angles of a quadrilateral measure 85&#xB0; and 75&#xB0; respectively. The other two angles are equal. Find the measure of each of these equal angles.

Philoid · Accepted Answer

Let x be the common angle of quadrilateral.

As per question,

A = 85°

B = 75°

C = D = x

As we know that, Sum of all four angles of quadrilateral is 360^o.

A + B + C + D = 360°

85° + 75°+ x + x = 360°

2x = 360° - (85° + 75°)

2x = 200°

X = 200 / 2

= 100°

C = D = 100°

So, Two angles of quadrilateral whose measuring’s are equal is 100°.