Question

The measure of an angle is 12° less than twice the measure of its supplement. What is the measure of the angle?


A. 64°


B. 34°


C. 28°


D. 116°

Answer 1

Let x be the measure of the angle.
The supplement of the angle is 180 - x.
According to the problem, x = 2(180 - x) - 12.
Simplifying the right side of the equation, we get 360 - 2x - 12 = 0.
Combining like terms, we get 348 - 2x = 0.
Adding 2x to both sides of the equation, we get 348 = 2x.
Dividing both sides of the equation by 2, we get x = 174.
The measure of the angle is 174°, so the answer is not listed among the options.
The correct answer is not provided.

Answer 2

The measure of an angle is 12° less than twice the measure of its supplement. What is the measure of the angle?


64°


34°


28°


116°

Answer 3

Let x be the measure of the angle.
The supplement of the angle is 180 - x.
According to the problem, x = 2(180 - x) - 12.
Simplifying the right side of the equation, we get 360 - 2x - 12 = 0.
Combining like terms, we get 348 - 2x = 0.
Adding 2x to both sides of the equation, we get 348 = 2x.
Dividing both sides of the equation by 2, we get x = 174.
Since x cannot be 174 degrees due to the restriction in the range of an angle, we can conclude that none of the options provided (64°, 34°, 28°, 116°) satisfy the given conditions. The correct answer is not provided.