Question

what are the values of v and w?
work it out
not feeling ready yet? these can help:
triangle angle - sum theorem
classify triangles

Explanation:

Step1: Identify the triangle type

Since two sides of the triangle are equal (marked with red lines), it is an isosceles triangle. In an isosceles triangle, the angles opposite the equal sides are equal. So \(v = 52^{\circ}\).

Step2: Use the triangle - angle sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). Let \(v = 52^{\circ}\), then \(w=180^{\circ}-v - 52^{\circ}\). Substitute \(v = 52^{\circ}\) into the formula: \(w = 180^{\circ}-52^{\circ}-52^{\circ}=76^{\circ}\).

Answer:

\(v = 52\), \(w = 76\)