Question

If the corner that the Hebron Bank is located onmeasures 85°, what is the measure of the cornerwhere the Pepsi Plant is located? What word describes this relationship?

Answer 1

Please note that the corner where Hebron Bank is located is marked with red, while the corner where the Pepsi Plant is located is marked in blue.

Both corners/angles lie on a straight line. Angles on a straight line always add up to 180 degrees. That means

Hebron bank (H) + Pepsi Plant (P) = 180

H + P = 180

85 + P = 180

Subtract 85 from both sides

85 - 85 + P = 180 -85

P = 95

This relationship is described as SUPPLEMENTARY ANGLES

When two (or more) angles add up to 180 degrees, then they are called supplementary angles.