4 years ago

PLEASE HELP ASAP WILL MARK BEAINLEST!!!

Mathematics

1 answer:

mafiozo [28]4 years ago

4 0

Answer:

a, b, c are all 144°

Step-by-step explanation:

Parallel lines that are crossed by a transversal (diagonal) will have angle properties that are very similar and consistent. Given that a straight line will form a total angle of 180°, the measure of ∠a would be 180 - 36 = 144°. Because ∠a and ∠b are corresponding angles so they are congruent (same measure) so ∠b = 144°. Since ∠b = 144° and is the opposite, vertical angle to ∠c, they must also be congruent as well. ∠a and ∠c are also alternate exterior angles that are congruent, so ∠c = 144° as well.

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