SOLUTION: Isosceles triangle XYZ has base XY¯¯¯¯¯¯ and m∠Y=34. What is m∠Z

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Question 1132553: Isosceles triangle XYZ has base XY¯¯¯¯¯¯ and m∠Y=34. What is m∠Z
Answer by MathLover1(20855) About Me  (Show Source):
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Isosceles triangle is a triangle with two equal sides. The angles opposite the equal sides are also equal.

given: isosceles triangle XYZ has base XY and m ∠ Y=34.
What is m+∠ Z
if base XY, equal side are XZ and YZ
since so, if m ∠ Y=34 than m ∠ X=34
since triangle, the sum of all angles is 180
then, m < Z=180-%2834%2B34%29=180-68=118
=>m < Z=112