Question

Hi Mr or Ms so I'm having trouble with number 4 could you please help me out here step by step. my answer is 1. the angle is alternate interior 2. 9x+2y=133 then I subtracted 2 from both sides and I got 131 so the only problem I'm having is when I divide 131 by 9 I get a large decimal....so did I do something wrong?

Answer 1

1) These angles are Collateral and Internal angles, so the angle 133º and (9x+2) are supplementary

This leads to:

9x+2 +133=180

9x+2 =180-133

9x+2=47 Subtract 2 units from both sides

9x =45

x =5

2)

m ∠ (9x +2) = ( 9*5 +2) =47º

The angles in blue are Corresponding angles, therefor Congruent.

The angles in red are Collateral therefore supplementary to those in blue.

That's why the angle (9x+2) and angle 133º are supplementary because they form a straight angle just as the supplement to the left of 9x +2.