Question

find m∠yxw.
answer
m∠yxw=°

Explanation:

Step1: Recognize the triangle type

Since two sides of the triangle are equal (marked with the same tick marks), it is an isosceles triangle. In an isosceles triangle, the base - angles are equal. So, \(m\angle W=m\angle Y = 35^{\circ}\).

Step2: Use the triangle - angle sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). Let \(m\angle YXW=x\). Then, by the angle - sum property of a triangle \(x + m\angle W+m\angle Y=180^{\circ}\).
Substitute \(m\angle W = 35^{\circ}\) and \(m\angle Y = 35^{\circ}\) into the equation:
\(x+35^{\circ}+35^{\circ}=180^{\circ}\)
\(x + 70^{\circ}=180^{\circ}\)

Step3: Solve for \(x\)

Subtract \(70^{\circ}\) from both sides of the equation \(x=180^{\circ}-70^{\circ}\)

Answer:

\(110\)