Question

An exterior angle of a triangle os 108 and interior opposite angles are in ratio 4:5 find the angles

Answer 1

Answer:48°, 60°

Step-by-step explanation:

given,

angle of an exterior angle of a triangle= 108°

hence, let angle = x

thereby,

4x +5x = 108°

( exterior angle is equal to the sum of 2 opp angles)

9x =108°

therefore, x = 12°

i. 4x = 48°

ii. 5x =60°

Answer 2

The exterior angle of a triangle =108

let the opposite angles are 4x and 5x respectively

4x+ 5x =108

9x = 108

9x =108

x = 12

therefore, 4(12) =48

5(12)= 60

so, A+B+C =180

48+60+C=180

108+ C =180

C = 180-108

C = 72