Question

1. În a ∆ ABC, ZC = 3 ZB = 2 (ZA + ZB). Find three angles.

Answer 1

Answer:

Here, angle A= 20°, angle B= 40° and angle C= 120°. Have a glance on the pic attached herewith to get the complete explanation. Hope it works!

Answer 2

$\angle C=120^{\circ}$

$\angle B=40^{\circ}$

$\angle A=20^{\circ}$

Step-by-step explanation:

In triangle ABC

$\angle C=3\angle B=2(\angle A+\angle B)$

$\angle A+\angle B=\frac{1}{2}\angle C$

$\angle B=\frac{1}{3}\angle C$

$\angle A+\angle B+\angle C=180^{\circ}$

By using triangle angles sum property

Substitute the values then we get

$\frac{1}{2}\angle C+\angle C=180$

$\frac{\angle C+2\angle C}{2}=180$

$\frac{3}{2}\angle C=180$

$\angle C=\frac{180\times 2}{3}=120^{\circ}$

$\angle C=120^{\circ}$

Substitute the values then we get

$\angle B=\frac{1}{3}\times 120=40^{\circ}$

Substitute the values then we get

$2(\angle A+40)=120$

$2\angle A+80=120$

$2\angle A=120-80=40$

$\angle A=\frac{40}{2}=20^{\circ}$

#Learns more:

https://brainly.in/question/13797551:answered by Viraajrao