Question

Given that lines a and b are parallel and that m<3=66° , find m<8

Answer 1

We will have the following:

We are given that m < 3 = 66°.

Using corresponfing angles we have that m<3 = m<7 = 66°.

Using supplementary angles we have that:

$m<7+m<8=180$

So, we solve for angle 8:

$66+m<8=180\Rightarrow m<8=114$

So, the measure of angle 8 is 114°.