Question

find m∠xwy.
answer attempt 1 out of 2
m∠xwy=°

Explanation:

Step1: Use the property of isosceles triangle

In \(\triangle XYW\), since \(XY = XW\) (marked by the same tick - marks), \(\triangle XYW\) is an isosceles triangle. The sum of interior angles of a triangle is \(180^{\circ}\). Let \(\angle XWY=\angle XYW = x\).
We know that \(\angle Y = 42^{\circ}\), and by the angle - sum formula for a triangle \(\angle Y+\angle XWY+\angle XYW=180^{\circ}\).

Step2: Solve for \(x\)

Substitute \(\angle XYW=\angle XWY = x\) into the formula: \(42^{\circ}+x + x=180^{\circ}\).
Combine like terms: \(42^{\circ}+2x=180^{\circ}\).
Subtract \(42^{\circ}\) from both sides: \(2x=180^{\circ}- 42^{\circ}=138^{\circ}\).
Divide both sides by \(2\): \(x = 69^{\circ}\).

Answer:

\(69\)