Question

solve for x

Explanation:

Step1: Identify the triangle type

The triangle is isosceles (two sides equal). So the base - angles are equal. Let the two equal angles be \(x\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). So \(40^{\circ}+x + x=180^{\circ}\).
Simplify the equation: \(40^{\circ}+2x = 180^{\circ}\).
Subtract \(40^{\circ}\) from both sides: \(2x=180^{\circ}- 40^{\circ}=140^{\circ}\).
Divide both sides by 2: \(x=\frac{140^{\circ}}{2}\).

Answer:

\(x = 70^{\circ}\)