Question

Two parallel lines are cut by a transversal as show belowsuppose m /_ 5=134°. Find m /_2 and m/_4.

Answer 1

we know that

In this problem

Angle 5 and angle 2 are consecutive interior angles

That means -----> are supplementary angles

so

m<5+m<2=180

substitute the given value

134+m<2=180

m<2=180-134

m<2=46 degrees

Find the value of m<4

we have that

m<4=m<2 ------> by vertical angles

therefore

m<4=46 degrees

Part 2