Question

Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees. Which statement is true about the angles?

Answer 1

This question is incomplete because it lacks the appropriate options

Complete Question

Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.

Which statement is true about the angles?

a) Measure of angle A = 20 degrees

b) Measure of angle B = 60 degrees

c) Angle A and Angle B are complementary

d) Measure of angle A + measure of angle C = 100 degrees

Answer:

a) Measure of angle A = 20 degrees

Step-by-step explanation:

It is known that the sum of angles in a triangles = 180°

We are given these values in the question

Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.

Therefore,

Angle A + Angle B + Angle C = 180°

2x + 5x + 11x = 180°

18x = 180°

x = 180°/ 18

x = 10°

Finding each of the angles

Angle A = 2x = 2 × 10 = 20°

Angle B = 5x = 5 × 10 = 50°

Angle C = 11x = 11 × 10 = 110°

Therefore, the correct option is:

a) Measure of angle A = 20 degrees