geometry question

Question

if l || m, m<7 = 6x + 4, and m<15 = 14 x - 4, calculate m<13

https://docs.google.com/document/d/15rQdOlpuY97rV4rXxHz83PbdpY2FubGkE882YJxfsDg/edit?usp=sharing

Answer 1

Hi, S.R.!

Thanks for providing the picture! It was needed to solve the problem.

Angle 7 = 6x + 4, Angle 15 = 14x - 4 and you want Angle 13.

When two lines are parallel, the line that crosses both of them creates the same angles in the same positions.

Angle 7 = Angle 13, Angle 15 = Angle 2

Angle 7 + Angle 2 = 180 so Angle 7 + Angle 15 = 180 or 6x + 4 + 14x - 4 = 180,

(add x's and numbers) 20x = 180

(divide both sides by 20) x = 9

Angle 7 = 6(9) + 4 = 58 so Angle 13 = 58

I hope this helps!

Best, Karen