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?

Measure of angle A = 20 degrees
Measure of angle B = 60 degrees
Angle A and Angle B are complementary
Measure of angle A + measure of angle C = 120 degrees

Answer 1

Let 2x + 5x + 11x = 180 → 18x = 180 → x = 10.
So A = 2x = 20°, B = 5x = 50°, C = 11x = 110°.

Thus the true statement is: Measure of angle A = 20 degrees.