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

x = 13

Step-by-step 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!

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

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.