Question

Two angles of a quadrilateral are 72° 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

let the unknown angles be 3x and 5x . so 3x+5x+72+56=360
8x+128=360
8x=360-128
8x=232
x=232/8
x=29
3x=29×3=87
5x=29×5=145

Answer 2

Dear Student,

◆ Answer -

87° and 145°

● Explanation -

Given that angles of a quadrilateral are 72° and 56°. Suppose x be a common multiple such that other two angles are 3x and 5x.

We know that, sum of all angles of quadrilateral is 360°.

72 + 56 + 3x + 5x = 360

128 + 8x = 360

8x = 360 - 128

8x = 232

x = 232 / 8

x = 29°

So, other two angles will be -

3x = 3×29° = 87°

5x = 5×29° = 145°

Hence, other two angles are 87° and 145°.

Thanks dear. Hope this helps you...