Find m∠1 if m∠2=73°, m∠3=107°, m∠4=92°.

Question

Answer 1

Actually, we can prove lines a and b are parallel.

<3 and the angle to its right form a linear pair. Since linear pairs are supplementary, those two angles have a sum of 180. Therefore, that missing angle = 73 degrees.

Thus, since the corresponding angles are equal, a and b are parallel. That means m<1 = m<4 since corresponding angles formed by parallel lines have equal measure.

Thus, the m<1 = 92 degrees.



Answer 2

Assuming lines a and b are parallel, then angles 4 and 1 are corresponding angles and have equal measures.