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Bunuel
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Bunuel
If p, q, and r are the degree measures of the three angles of an isosceles triangle and p = 100, then p – q =

(A) 20
(B) 40
(C) 50
(D) 60
(E) 80


The sum of angles can't exceed 180. This implies the q= r =40

p - q = 100 - 40 =60

Answer: D
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Bunuel
If p, q, and r are the degree measures of the three angles of an isosceles triangle and p = 100, then p – q =

(A) 20
(B) 40
(C) 50
(D) 60
(E) 80

Since a triangle cannot have two interior angles of 100 degrees and since p = 100, the other two angles are equal to each other and they sum to 80 degrees. Therefore, they must be 40 degrees each; thus, p - q = 100 - 40 = 60.

Answer: D
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The third angle r will be either equal to p or q to be isosceles.
If r=p the sum of angle would exceed 180.
therefore q=r
Solving p + q + r= 180 we get q = r = 40

Hence p - q = 60
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