Question

Angle a and angle b are supplementary angles. If m angle a = (2x+10) and m angle b=(2x+2), then find the measure of angle a.

Answer 1

a = 94

Explanation:

if they're supplementary it means they equal to 180

you write an equation of both angles equaling to 180

180 = 2x + 10 + 2x + 2

add the equal terms

180 = 4x + 12

subtract the 12 from 180

168 = 4x

divide by 4

42 = x

then use x in the problem for angle a

2(42) + 10

84 +10 = 94