Question

find m∠vxw.
answer attempt 1 out of 2
m∠vxw=◻° submit answer

Explanation:

Step1: Identify the triangle type

The triangle \(VXW\) has two sides equal (marked with the same tick), so it is an isosceles triangle. In an isosceles triangle, the base - angles are equal. Let \(\angle V=\angle W = 45^{\circ}\).

Step2: Use the triangle - angle sum property

The sum of angles in a triangle is \(180^{\circ}\). Let \(\angle VXW=x\). Then, using the formula \(\angle V+\angle W+\angle VXW = 180^{\circ}\). Substitute \(\angle V = 45^{\circ}\) and \(\angle W = 45^{\circ}\) into the formula: \(45^{\circ}+45^{\circ}+x=180^{\circ}\).

Step3: Solve for \(x\)

Simplify the left - hand side of the equation: \(90^{\circ}+x = 180^{\circ}\). Subtract \(90^{\circ}\) from both sides: \(x=180^{\circ}-90^{\circ}\).

Answer:

\(90\)