∠A and ∠B are supplementary angles. m ∠A is 9° less than twice m ∠B. Find m ∠A and m ∠B.

I am aware that m

Question

∠A and ∠B are supplementary angles. m ∠A is 9° less than twice m ∠B. Find m ∠A and m ∠B.

I am aware that m<A +m<B = 180°

anonymous · Answer

Let's represent angle A and angle B algebraically.

How would you represent those 2 angles?

anonymous · Answer

Im not sure

anonymous · Answer

Let angle B = x

Now, angle A is 9 less than twice angle B. So that translates to 
2x - 9 (not 9 - 2x........9 less than something is that something - 9).

anonymous · Answer

so is that 2x-9 =180? solve for x and get A?

anonymous · Answer

well, the SUM of the two angles, A and B, equals 180. 

so what is the correct equation?

anonymous · Answer

x+(2x-9) =180

anonymous · Answer

Yes! 

Now solve the equation.

anonymous · Answer

x=63, which is m<B and m<A= 117

anonymous · Answer

Exactly!