Question

Triangle ABC is represented by the drawing below.

What are the measures of the interior angles of (triangle)ABC?

Choices shown in photo. please help!

Answer 1

Your Answer Will Be C) A=70 B=70 C=40

Answer 2

m∠A=(2x-30)°

m∠B=(x+20)°

m∠C=(x-10)°

Sum of angles of triangle is 180°

So, m∠A+m∠B+m∠C=180°

So, (2x-30)°+(x+20)°+(x-10)°=180°

4x°-40°+20°=180°

4x°-20°=180°

Adding 20° on both sides

So, 4x°-20°+20°=180°+20°

4x°+0°=200°

4x°=200°

To find the value of x,

So, x=200/4

x=50

So, m∠A=(2*50-30)°=100°-30°=70°

m∠B=(x+20)°=50°+20°=70°

m∠C=(x-10)°=50°-10°=40°

Answer:Option C