Question
In triangle XYZ, XY = YZ and m∠X = 78°. Find the
value of m∠Y.Solution
Let the base angles be m∠Y and m∠Z. Since XY = YZ, m∠X = m∠Z. m∠X + m∠Y + m∠Z = 180º 78º + m∠Y + 78º  = 180º ⇒ 156º + m∠Y = 180º ⇒ m∠Y = 180º - 156º ⇒ m∠Y = 24º
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