Question

Let mA = 30°. If B is a supplement of A, and C is a complement of A, what is mB + mC?

Answer 1

Angle B and angle C are the supplement and complement of angle A respectively. The sum of the measures of angle B and angle C is 210 degrees.

Step-by-step explanation:

Let's start by defining the concepts of supplement and complement. Two angles are supplementary if their measures add up to 180 degrees. Two angles are complementary if their measures add up to 90 degrees.

Given that mA = 30 degrees, we know that angle A is 30 degrees. Since angle B is a supplement of angle A, mB = 180 - mA = 180 - 30 = 150 degrees. Similarly, since angle C is a complement of angle A, mC = 90 - mA = 90 - 30 = 60 degrees.

Therefore, mB + mC = 150 + 60 = 210 degrees.