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°
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!
