Question

In triangle ABC 3angle A=6angleB=2angleC find the measure of each angle

Answer 1

Step-by-step explanation:

In ∆ ABC

3angle A=6angleB=2angleC = k

angle A= k/3

angle B= k/6

angle C = k/2

sum of the angles= 180°

k/3+k/6+k/2= 180°

(2k+k+3k)/6= 180°

6k/6= 180°

k= 180°

angle A= k/3 = 180°/3=60°

angle B= k/6= 180°/6=30°

angle C = k/2= 180°/2= 90°

so, the measure of each angle 60°, 30°, 90°