Question

Two angles are supplementary. One angle measures 26 degrees more than the other. Find the measure of the two angles.

Answer 1

suuplementary means the two angles add up to 180
so x+y = 180
one angle is 26 more than the other
so y = x+26
solve the two equations

Answer 2

supplementary means their sum is 180

let smaller angle be x deg
then bigger angle is (x + 26) deg
x + x + 26 = 180
2x = 180-26
x = 154/2
x = 77

so the smaller angle is 77 deg
bigger angle is 103 deg

Answer 3

Supplementaries add up to 180. So take two 90 degree angles, divide your difference in two (13) now subtract that from one angle, add to the other.
90 - 13 = 77,
90 +13 = 103.

103 - 77 = 26

103 + 77 = 180 (supplementary)

Answer 4

Basically, you are moving your vertical 90-90 line the amount of degrees difference one way or the other. This way, you can do it without algebra.