Question

In a △ABC, ∠C =3∠B =2(∠A + ∠B). Find the measure of each angle.

Answer 1

Answer:

angle A=20° angle B=40° angle C=120°

Step-by-step explanation:

In ∆ABC,

Let , angle C=3angleB=2(angle A+ angle B)=x

angle C= x

3angleB=x

angle B=x/4

2(angle A+angle B)=x

angle A+ angle B=x/2

angle A+x/3=x/2

angle A=x/2-x/3

angle A=3x-2x/6(by taking LCM)

angle A=x/6

By angle sum property of ∆

angle A+angle B+angle C=180°

x/6+x/3+x=180°

x+2x+6x/6=180°

9x/6=180°

x=180×6/9

x=120°

angle C =120°

angle B= x/3=120/3=40°

angle A=x/6=120/6=20°

Answer 2

Answer:

5

Step-by-step explanation:

because the sum is 180