Question

in triangle abc angle A equals to angle C and Angle B equals to angle A + angle C. find the measures of the angles of the triangle.(by linear equations in one variable)​

Answer 1

Answer:

Step-by-step explanation:

Angle A=Angle C =x - i

Angle B=Angle A+Angle C

Angle B=x + x = 2x from - i

We know that sum of all angles of triangle equals 180 degrees

Therefore,Angle A+ Angle B+ Angle C= 180 degrees

x+2x+x= 180 degrees

4x= 180 degrees

x= 45 degrees

Angle A=x=45 degrees

Angle B=2x=90 degrees

Angle C=x=45 degrees

Answer 2

Step-by-step explanation:

let the no. be x

Angle A=angle C so,angle A = x

Angle B=angle A+angle C so, angle B =2x

Angle C= x

According to question,

x+2x+x=180°

4x=180°

x=180°/4

x=45°

Angle A= x= 45°

Angle B=2x=90°

Angle C=x=45°

Check:-

(45°+90°+45°=180°)