Angle x is (2n + 12)°, and angle y is (3n + 18)° . Find the measure of angle x.

Question

Note: not drawn to scale.
Responses
A 24°24°
B 108°108°
C 72°72°
D 30°30°
E 180°

Answer 1

We can set up an equation to solve for n:

2n + 12 + 3n + 18 = 180

Simplifying and solving for n:

5n + 30 = 180

5n = 150

n = 30

Now that we know n is 30, we can plug it in to find the measure of angle x:

2n + 12 = 2(30) + 12 = 72

Therefore, the measure of angle x is 72°.

Answer: C) 72°