Question

Two angles of a quadrilateral are72° and 56° respectively and the remaining two angles are in the ratio 3:5 .Find the measure of each angle of the quadrilateral

Answer 1

hope this helps you to get the answer

Answer 2

Hi friend!

Angle sum of quadrilateral = 360°
The four angles = 72°, 56°, 3x and 5x

Their sum
72+56+3x+5x=360

128 + 8x = 360
8x = 360 - 128
8x = 232
x = 232/8
x = 29

Third angle = 3x = 87°
Fourth angle = 5x = 145°

You can check this by adding all the four:
72 + 56 + 87 + 145
= 128 + 232
= 360
.°. Proved.

Hope you found my answer useful .