Question

Two parallel lines are crossed by a transversal.

What is the value of m?

m = 68
m = 78
m = 102
m = 112

Answer 1

we know that

If f and e are parallel lines

then

∠m+
`78\°=180\°` ------> by consecutive interior angles

Find the value of m

∠m=
`180\°-78\°=102\°`

therefore

the answer is the option

∠m=
`102\°`

Answer 2

C.
`m=102`

Explanation:

We have been given an image of two parallel lines crossed by a transversal. We are asked to find the measure of m.

We can see that angle that measure 78 degrees and angle m are consecutive interior angles.

Since we know that consecutive interior angles are supplementary, so we can set an equation to find the measure of m as:

`78^(\circ)+m^(\circ)=180^(\circ)`

`78^(\circ)-78^(\circ)+m^(\circ)=180^(\circ)-78^(\circ)`

`m^(\circ)=102^(\circ)`

Therefore, the value of m is 102 and option C is the correct choice.