Question

5) The angles of a quadrilateral are in the following ratio. Find the measure of the four angles.
(i) 3:5:7:9 (ii) 2:2:3:5​

Answer 1

The total sum Internal Angles of Any Quadrilateral is Always 360°

In First case,

sum of the ratio = 3+5+7+9 = 24

if we divide 360° with 24 = 360/24=15

so for ratio 3 = 3*15=45°

5 = 5*15=75°

7 = 7*15=105°

9 = 9*15 =135°

2nd case,

2+2+3+5=12

360/12 = 30

Ratio= 2*30= 60

2*30=60

3*30= 90

5*30= 150