SOLUTION: In triangle XYZ, XY is congruent to YZ. If the measure of angle X is 52, find the measure of angle Y.

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Question 551322: In triangle XYZ, XY is congruent to YZ. If the measure of angle X is 52, find the measure of angle Y.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Triangle XYZ must be an isosceles triangle from the description.
Angle X = angle Z because the base angles of an isosceles triangle are congruent.
The third angle, angle Y, is 180-X-Z. The sum of the angles in any plane triangle is 180 degrees.
Angle Y = 180-52-52 = 76 degrees.