Question

An angle measures 46° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

67 degree

113 degree

Explanation:

Supplementary angles are angles that measure up to 180 degrees. For example, if one angle measures 60 degree, the other angle would measure (180 - 60) 120 degrees

Let x represent the smaller angle

The bigger angle = x + 46

We know that both the smaller and the bigger angle would add up to 180, thus this equation can be written :

x + 46 + x = 180

2x + 46 = 180

Collect like terms

2x = 180 - 46

2x = 134

Divide both sides by 2

x = 67 degrees

the bigger angle = 67 + 46 = 113 degree