Question

Which statement is true about the angles?

Answer 1

Answer:

Measure of angle A = 20 degrees

Step-by-step explanation:

this is right on edge 2021

Answer 2

Complete Question:

Triangle abc has the angle mesausres 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. m<A and m<B are complementary

D. m<A + m<C = 120°

Answer:

A. m<A = 20°

Step-by-step explanation:

m<A + m<B + m<C = 180° (sum of interior angles of a triangle)

$2x + 5x + 11x = 180$ (substitution)

Solve for x. Add like terms.

$18x = 180$

Divide both sides by 18

$\frac{18x}{18} = \frac{180}{18}$

$x = 10$

Find the measure of each angle by substituting x = 10:

m<A = (2x)° = 2(10) = 20°

m<B = (5x)° = 5(10) = 50°

m<C = (11x)° = 11(10) = 110°

Therefore, the only true statement is:

A. m<A = 20°