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Anastasy [175]
3 years ago
9

In each figure below find m ∠1 and m∠2, if a||b. Justify with reasons your solution.

Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0

Answer:

m<1 = 130°

m<2 = 50°

Step-by-step explanation:

Since given that line a is parallel to line b, and <1 and 130° are interior angles that alternate each other, therefore:

m<1 = 130° (alternate interior angle theorem)

Also,

130° and <2 lie on same side inside the parallel lines cut across by the transversal, therefore,

m<2 + 130° = 180° (same side interior angles theorem)

m<2 = 180° - 130°

m<2 = 50°

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