Question

An angle is 88° more than its supplement. The measure of the angle, in degrees is;

a) 46
b) 88
c) 134
d) 180

Answer 1

To find the measure of the angle that is 88° more than its supplement, one can set up the equation: x = (180° - x) + 88°. Solving this, x equals 134°. Hence, the angle measures 134°.

Step-by-step explanation:

The question asks us to determine the measure of an angle that is 88° more than its supplement. We know that supplementary angles add up to 180°. Let's denote the angle as x degrees. Therefore, its supplement will be (180° - x) degrees. According to the problem, the angle is 88° more than its supplement, so the equation to solve is:

x = (180° - x) + 88°

Simplifying the equation:

x + x = 180° + 88°

2x = 268°

x = 134°

Therefore, the measure of the angle is 134°.