Question

Given the lines a and b are parallel and that m 2= 68, find m 5.

Answer 1

M<2 and M<6 are corresponding angles, that means they have the same degree. M<6 and M<5 are supplementary angles, that means they have together a sum of 180. So all you need to do is 180 - 68 = 112. D is the answer.

Hope this helps :)

Answer 2

D.
`112^(\circ)`

Explanation:

We have been given two parallel lines. We are asked to find the measure of angle 5.

We can see that angle 2 and angle 6 are corresponding angles as they lie on upper side of parallel lines and same side of transversal.

We know that corresponding angles are equal, so measure of angle 2 is equal to measure of angle 6.

`m\angle 6=m\angle 2`

`m\angle 6=68^(\circ)`

We can see that angle 5 and angle 6 are supplementary, so they will add up-to 180 degrees.

`m\angle 5+m\angle 6=180^(\circ)`

`m\angle 5+68^(\circ)=180^(\circ)`

`m\angle 5+68^(\circ)-68^(\circ)=180^(\circ)-68^(\circ)`

`m\angle 5=112^(\circ)`

Therefore, the measure of angle 5 is 112 degrees.