Question

Triangle ABC has the angle measures shown.

m∠A = (2x), m∠B = (5x), m∠C = (11x).
Which statement is true about the angles?
A: m∠A = 20
B: m∠B = 60
C: ∠A and ∠B are complementary
D: m∠A + m∠C = 120

Answer 1

The sum of the angles in a triangle is always 180 degrees. The statement B: m∠B = 60 is true.

Step-by-step explanation:

The sum of the angles in a triangle is always 180 degrees. In this case, we can set up an equation to find the value of x. Given that the angle A is 2x, angle B is 5x, and angle C is 11x, we have the equation 2x + 5x + 11x = 180. Solving this equation, we find that x = 10. Substituting x = 10 back into the angle measures, we get angle A = 20 degrees, angle B = 50 degrees, and angle C = 110 degrees.

Therefore, the statement B: m∠B = 60 is true.