Question

question
find ( mangle wvu ).
answer attempt 1 out of 2
( mangle wvu=square^{circ} )

Explanation:

Step1: Identify 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, \(m\angle U=m\angle W = 28^{\circ}\).

Step2: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). Let \(m\angle WVU=x\). Then, by the angle - sum property of a triangle \(x + m\angle U+m\angle W=180^{\circ}\).
Substitute \(m\angle U = 28^{\circ}\) and \(m\angle W = 28^{\circ}\) into the equation:
\(x+28^{\circ}+28^{\circ}=180^{\circ}\)
\(x+56^{\circ}=180^{\circ}\)
Subtract \(56^{\circ}\) from both sides:
\(x=180^{\circ}- 56^{\circ}\)
\(x = 124^{\circ}\)

Answer:

\(124\)