Question

what is the value of x? drawing not to scale 124° 112° 62° 68°

Explanation:

Step1: Identify the triangle type

The triangle is isosceles (two equal sides), so the base - angles are equal. One base - angle is \(56^{\circ}\), so the other base - angle is also \(56^{\circ}\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let \(x\) be the vertex angle. Then \(x + 56^{\circ}+56^{\circ}=180^{\circ}\).

$$x=180^{\circ}-(56^{\circ} + 56^{\circ})$$

$$x=180^{\circ}-112^{\circ}$$

$$x = 68^{\circ}$$

Answer:

\(68^{\circ}\)