Question

Let mZA = 40°. If ZB is a complement of A, and 2c is a supplement of 2B, what is m4B+m2c?

A. 600
B. 150°
C. 180°
D.210°

Answer 1

Explanation:

m<A = 40°

Is 2B is a complimentary angle to A that means the sum is 90°

40 + 2B = 90°

2B = 90 - 40

2B = 50

B = 50/2

B = 25°

If 2C is a supplementary angle to 2B then the sum is 180°

2C + 2B = 180°

2C + 50 = 180

2C = 180 - 50

2C = 130°

C = 130/2

C = 65°

So....

m4B+m2c = 4(25) + 2(65)

m4B+m2c = 100 + 130

m4B+m2c = 230°