Question

Triangle ABC has the angle measures shown.

Measure of angle A = (2 x) degrees. Measure of angle B = (3 x) degrees. Measure of angle C = (4 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 = 100 degrees

Answer 1

Let A = 2x, B = 3x, C = 4x. Since A + B + C = 180, 2x + 3x + 4x = 9x = 180 so x = 20.

Thus A = 40°, B = 60°, C = 80°. The true statement is:
Measure of angle B = 60 degrees.