Question

The measure of the supplement if an angle is 46 more than 3 times the complement of the angle. Find the angle

A. 68 degrees
B. 44 degrees
C. 112 degrees
D. 22 degrees

Answer 1

To find the angle, use the equation: 180 - x = 46 + 3(90 - x). Simplify the equation and solve for x. which gives A. 68 degrees

Step-by-step explanation:

To find the angle, let's assume the angle is x.

The complement of the angle is 90 - x degrees.

The supplement of the angle is 180 - x degrees.

According to the given information, 180 - x = 46 + 3(90 - x).

Simplifying the equation:

1. 180 - x = 46 + 270 - 3x
2. 180 - x = 316 - 3x
3. 2x = 136
4. x = 68 degrees

Therefore, the angle is 68 degrees (Option A).