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Verified Answer :

The sum of all five angles is 540 degrees.
A) 4congruent angles + 5th angle = 540
B) (5th angle) -30 = 2
cong angle

A) 5th angle = 540 -4cong angle
B) 5th angle  = 2
(cong angle)   -30
Multiplying B) by -1
B) -5th angle  = -2(cong angle)   +30  then adding to A)
A) 5th angle = 540 -4
cong angle

-2(cong angle)   +30  = 540 -4cong angle
2(cong angle) = 510
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By trial and error I determined
each congruent angle = 95
5th angle = 160