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

Answer:

C. $m=102$

Step-by-step 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.