Question

In the figure, j ‖ k and m∠1 = 63°.

What is m∠4?

Answer 1

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Answer 2

Angles 1 and 4 are consecutive interior angles which have to add up to 180 degrees so 180 degrees - 63 degrees gives you m<4 which is 117
So m<4=117 HOPE THIS HELPS!!!! XD

Answer 3

Theorem x (I forgot) says if 2 lines intersect then the angles ajacent to each other are supplementary(x+y=180)

so we see that angle 1 is adjacent to (next to ) angle 4 so
1+4=180
if angle 1=63
63+4=180
subtract 63 form both sdies
angle 4=117

117 degrees