Question

15
50°
correct x

Explanation:

Step1: Use the property of isosceles triangle

Since the two sides of the triangle are marked equal, it is an isosceles triangle. In an isosceles triangle, the base angles are equal. Let the two equal - angle measures be \(x\) and the third angle is \(50^{\circ}\).

Step2: Apply the triangle - angle - sum formula

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(x + x+50^{\circ}=180^{\circ}\), which simplifies to \(2x=180^{\circ}- 50^{\circ}\).

$$2x = 130^{\circ}$$

$$x=\frac{130^{\circ}}{2}$$

Answer:

\(65^{\circ}\)