Question

Two parallel lines are crossed by a transversal.

Horizontal and parallel lines e and f are cut by transversal d. At the intersection of lines e and d, the bottom right angle is 78 degrees. At the intersection of lines f and d, the top right angle is m degrees.
What is the value of m?

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

Answer 1

Answer:

C- m=102

Step-by-step explanation:

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Answer 2

The value of m of the given parallel lines is; m = 102°

How to find the angle of a transversal?

From the transversal line theorem, it states that If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary .

Now, from the given question we see that Horizontal and parallel lines e and f are cut by transversal d. Thus, if the bottom right angle is 78 degrees, then the top right angle which is m degrees is supplementary to it and as such is;

m = 180 - 78

m = 102

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