Question

Triangle ABC has the angle measures shown.

Answer 1

Answer:

m∠A = 20°

Step-by-step explanation:

Triangle ABC has the following angle measures:

• m∠A = 2x°

• m∠B = 5x°

• m∠C = 11x°

We know that the addition of the angles of a triangle makes 180°, therefore:

m∠A + m∠B + m∠C = 180°

Replacing with data and solving for x:

2x + 5x + 11x = 180

18x = 180

x = 180/18

x = 10°

Which makes the angles:

m∠A = 2*10 = 20°

m∠B = 5*10 = 50°

m∠C = 11*10 = 110°