Question

The supplementary angles differ by 24. Write two equations and find the two angles
HELP!

Answer 1

78°, 102°

Explanation:

Let the two Supplementary anglea be x and y degrees, where x > y.

`\therefore \: x - y = 24 \degree...(1) \\ x + y = 180 \degree...(2) \\ adding \: equations \: (1) \: and \: (2) \\ \\ x - y = 24 \degree \\ x + y = 180 \degree \\ - - - - - - \\ 2x = 204 \degree \\ x = (204 \degree)/(2) \\ \huge \red{ \boxed{x = 102 \degree}} \\ from \: equation \: (2) \\ 102 \degree + y = 180 \degree \\ y = 180 \degree - 102 \degree \\ \huge \purple{ \boxed{y \: = \: 78\degree}}`