Answer:
4x +10 + 3x +2 = 180 (since they're supplementary, the angles together =180)
7x +12 =180 (combine like terms on left side, and subtract 12 from both sides)
7x = 168 (divide both sides by 7 to isolate x)
x= 24
angle 1 = 4(24)+10 (plug x into the expression for each angle, and solve)
..................96 +10
angle 1 = 106 degrees (the measure of the first angle)
angle 2 = 3(24) +2
..................72 +2
angle 2 = 74 (the measure of the second angle)
106 +74 =180 (the two add up to 180, so they're supplementary)
Step-by-step explanation:
I hope this helps :)
