SOLUTION: ∠a and ∠b are supplementary. If m∠a = 2x + 4 and m∠b = 4x - 10, what is the measure of ∠a?

Algebra ->  Angles -> SOLUTION: ∠a and ∠b are supplementary. If m∠a = 2x + 4 and m∠b = 4x - 10, what is the measure of ∠a?      Log On


   

Question 479301: ∠a and ∠b are supplementary. If m∠a = 2x + 4 and m∠b = 4x - 10, what is the measure of ∠a?
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
if a and b are supplementary, then a%2Bb=180degrees
2x%2B4%2B4x-10=180
6x-6=180
6x=180%2B6
6x=186
x=186%2F6
x=31
Angle a=2%2A31%2B4=66 degrees
Angle b=4%2A31-10=114degrees