Question

The following angles are supplementary to each other.

m∠A = (2x − 27)° and m∠B = (3x + 27)°Determine x.

a.55
b.36
c.18
d.9

Answer 1

To determine x in the given problem, we need to set up and solve an equation using the fact that supplementary angles add up to 180 degrees. The value of x is 36.

Step-by-step explanation:

To determine x in the given problem, we need to set up an equation using the fact that supplementary angles add up to 180 degrees. So, we have:

(2x - 27) + (3x + 27) = 180

Solving this equation will give us the value of x. Let's simplify and solve it:

2x + 3x - 27 + 27 = 180

5x = 180

x = 36

Therefore, the value of x is 36, so the correct answer is (b) 36.