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)
[tex] 2x + 5x + 11x = 180 [/tex] (substitution)
Solve for x. Add like terms.
[tex] 18x = 180 [/tex]
Divide both sides by 18
[tex] \frac{18x}{18} = \frac{180}{18} [/tex]
[tex] x = 10 [/tex]
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°
Answer:
Measure of angle A = 20 degrees
Step-by-step explanation:
this is right on edge 2021
