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Two parallel lines are cut by a transversal as shown below.
Suppose m2 = 97°. Find m5 and m<8

Two parallel lines are cut by a transversal as shown below Suppose m2 97 Find m5 and mlt8 class=

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Answer: m<8=97 degrees.

m<5=83 degrees

Step-by-step explanation:

m<8=m<2 ==> Angles 8 and 2 are alternate interior angles, meaning that they're equal.

m<8=97 degrees.

m<8+m<5=180 degrees ==> Both angles 8 and 5 add up to a straight line, and straight lines measure 180 degrees and are called straight angles.

97+m<5=180

97-97+m<5=180-97

m<5=83 degrees

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