Question

∠A and ∠B are complementary, and ∠B and ∠C are supplementary.

If the m∠A is 29°, what are the m∠B and m∠C?)

A. m∠B= 119°, m∠C = 151°
B. m∠B= 61°, m∠C = 151°
C. m∠B= 119°, m∠C = 61°
D. m∠B= 61°, m∠C = 119°

Answer 1

The answer to this is D

Answer 2

Explanation:

m∠A = 29°

∠A and ∠B are complementary, then

m∠A + m∠B = 90°

29° + m∠B = 90°

m∠B = 90° - 29°

= 61°

∠B and ∠C are supplementary, then

m∠B + m∠C = 180°

61° + m∠C = 180°

m∠C = 180° - 61

= 119°

therefore the answer is D. m∠B = 61°, m∠C = 119°

#CMIIW