Question

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

Explanation:

Step1: Recognize the triangle type

Since two sides are equal (marked with the same tick), the triangle is isosceles. In an isosceles triangle, the angles opposite the equal sides are equal. So \(u = 55^{\circ}\).

Step2: Use the triangle - angle sum theorem

The sum of angles in a triangle is \(180^{\circ}\). Let's find \(v\). We know that \(u + 55^{\circ}+v=180^{\circ}\). Substitute \(u = 55^{\circ}\) into the equation: \(55^{\circ}+55^{\circ}+v = 180^{\circ}\). Then \(v=180^{\circ}-(55^{\circ}+55^{\circ})\).

$$v = 180^{\circ}-110^{\circ}=70^{\circ}$$

Answer:

\(u = 55\), \(v = 70\)