Question

If m<1=6x+50 and m<2=4x+40 find x

Answer 1

Angle 1 and 2 are supplementary angles and need to equal 180 degrees

so angle 1  +  angle 2 = 180:

6x+50 + 4x+40 = 180

combine like terms:

10x + 90 = 180

subtract 90 from each side:

10x = 90

divide both sides by 10

x = 9