Question

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

Answer 1

Hlw mate


Let the measure of equal angles be x.

So,

85 + 75 + x + x = 360

160 + 2x = 360

2x = 360 - 160

2x = 200

X = 200 / 2

X = 100

Each angle = 100°


Hope it helpful

Answer 2

Answer

Let the 3rd angle be x
Hence 4th angle will also be x

Also,

85+75+x+x = 360° (sum of all angles of a QUADRILATERAL)

160+2x = 360

2x = 360-160

2x = 200

x = 100°

Hence 3rd and 4th angle are of measure 100°