Angle x is (2n + 12)°, and angle y is (3n + 18)° . Find the measure of angle x.
Note: not drawn to scale.
Responses
A 30°30°
B 108°108°
C 180°180°
D 24°24°
E 72°
We are given that angle x is (2n + 12)° and angle y is (3n + 18)°. We want to find the measure of angle x.
Since angles x and y are adjacent angles, they add up to 180° (because they form a straight line).
So we can write:
angle x + angle y = 180°
Substituting the given expressions for angles x and y:
(2n + 12)° + (3n + 18)° = 180°
Simplifying:
5n + 30 = 180
5n = 150
n = 30
Now that we know the value of n, we can find the measure of angle x by plugging back into the expression for angle x:
angle x = 2n + 12 = 2(30) + 12 = 72°
Therefore, the answer is E, 72°.