Logan Daniels
04/08/2024 · Senior High School
Question In \( \triangle W X Y, \overline{X Y} \cong \overline{W X} \) and \( \mathrm{m} \angle W=61^{\circ} \). Find \( \mathrm{m} \angle X \) Answer Attempt 1 out of 99
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Given that \( \overline{X Y} \cong \overline{W X} \) in \( \triangle W X Y \), we know that \( \triangle W X Y \) is an isosceles triangle. In an isosceles triangle, the angles opposite the equal sides are also equal.
Let's denote the measure of \( \angle X \) as \( \mathrm{m} \angle X \). Since \( \overline{X Y} \cong \overline{W X} \), we have:
\[ \mathrm{m} \angle X = \mathrm{m} \angle W \]
Given that \( \mathrm{m} \angle W = 61^{\circ} \), we can conclude that:
\[ \mathrm{m} \angle X = 61^{\circ} \]
Therefore, the measure of angle \( X \) in \( \triangle W X Y \) is \( 61^{\circ} \).
Quick Answer
The measure of angle \( X \) is \( 61^{\circ} \).
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