Question

M<a = 3x+11 and m<b = 17x-91. The angles are supplementary. Find the value of x.​

Answer 1

Since the measure of both angles are supplementary, its easy to form the equation.

3x+11+17x-91 = 180

20x-80 = 180

20x = 100

x = 5

m<a = 3x+11

= 3(5)+11

= 15+11

= 26

m<b = 17x-91

= 17(5)-91

= 85-91

= -6

Answer 2

x = 13

Explanation:

Supplementary means 180 degrees.

Since we are finding the supplement, we are going to add both angles together and solve for x.

3x + 11 + 17x - 91 = 180

~Combine like terms

20x - 80 = 180

~Add 80 to both sides

20x = 260

~Divide 20 to both sides

x = 13

Best of Luck!