Question

The measure of an angle is 8 degrees less than three times the measure another angle. If the two angels are supplementary, what is the measure of the larger angle?

Answer 1

Answer:

133°

Step-by-step explanation:

Let the measure of one angle be x, then the measure of the other angle is

3x - 8

Supplementary angles sum to 180°

Sum the 2 angles and equate to 180

x + 3x - 8 = 180

4x - 8 = 180 ( add 8 to both sides )

4x = 188 ( divide both sides by 4 )

x = 47

The larger angle = 3x - 8 = (3 × 47) - 8 = 141 - 8 = 133°

Answer 2

The answer is 133°

Supplementary means that the two angles add up to 180°. The word problem defines the following equation:

x + (3x - 8) = 180, where

x is the smaller angle, and

(3x - 8) is the larger angle (they add up to 180)

when we solve for x we get that x = 47

we plug that into the equation for the larger angle like so:

(3x - 8) = (3*47 - 8) = (141 - 8) = 133°

Hope this helped!