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galina1969 [7]
3 years ago
7

PLEASE HELP ASAP WILL MARK BEAINLEST!!!

Mathematics
1 answer:
mafiozo [28]3 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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