Question

In ∆ABC,angle A = angle C and angle B = angle A + angle C. Find the measures of the angles of the triangle.

Answer 1

Let, angle A and C be x.Then,

Angle B = x +x.let it be 1st

In triangle ABC,

Angle (A+B+C)=180

x+x+B=180

By 1st

x+x+x+x=180

x=180/4=45

Hence angle A= C= 45 and angle B = 90

Answer 2

Answer

A is B + C

B is A + C

So A is A + 2C

So 2A + 2C is 180

A + C is 90

So B is 90

Again A - C is 90

2A is 90

A is 45

Thus C is 45