Question 678312: the vertex angle of an isosceles (a+15) one of the base angles measures 7a. Find a and each angle measure
Answer by jim_thompson5910(35256) (Show Source):
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(a+15) + (7a) + (7a) = 180
a+15 + 7a + 7a = 180
15a+15 = 180
15a = 180-15
15a = 165
a = 165/15
a = 11
a+15 = 11+15 = 26
7a = 7(11) = 77
So in the end,
a = 11
a+15 = 26
7a = 77
Therefore, the three angles are 26, 77, and 77 degrees.
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