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SInce it's isoceles, and the different angle is 2 times the base, let's represent these angles using the variable a. the top is 2a, the bases are a. a+a+2a = 4a, so 180/4= 45. Yes. Angle Y is 90 degrees, angle Z is 45, and XZ's perpendicular bisecrotr creates 2 smaller ones due to process of elimination