Angle x is (2n + 12)°, and angle y is (3n + 18)° . Find the measure of angle x.
Note: not drawn to scale.
Responses
A 108°108°
B 24°24°
C 180°180°
D 30°30°
E 72°
Since angles x and y form a straight line, they add up to 180 degrees.
So, (2n + 12)° + (3n + 18)° = 180°
Simplifying the equation:
5n + 30 = 180
5n = 150
n = 30
Substituting n = 30 into the expression for angle x:
Angle x = (2n + 12)° = (2(30) + 12)° = 72°
Therefore, the measure of angle x is 72 degrees.
Answer: E) 72°