Question

find m∠wvu.
answer
m∠wvu=◻°

Explanation:

Step1: Identify the triangle type

Since \( VU = VW \), \(\triangle VUW\) 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 triangle - angle sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). Let \(m\angle WVU=x\). Then \(x + m\angle U+m\angle W=180^{\circ}\). Substitute \(m\angle U = 28^{\circ}\) and \(m\angle W = 28^{\circ}\) into the equation: \(x+28^{\circ}+28^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

Simplify the left - hand side of the equation: \(x + 56^{\circ}=180^{\circ}\). Subtract \(56^{\circ}\) from both sides: \(x=180^{\circ}-56^{\circ}=124^{\circ}\).

Answer:

\(124\)