Question

solve for x ( this is not a multiple choice. show your work)

Explanation:

Step1: Recall angle - sum property of isosceles triangle

In an isosceles triangle, two angles are equal. The sum of interior angles of a triangle is 180°.

Step2: Set up the equation

Let the equal angles be \(x\). We know one angle is 40°. So, \(x + x+40^{\circ}=180^{\circ}\), which simplifies to \(2x + 40^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

First, subtract 40° from both sides: \(2x=180^{\circ}- 40^{\circ}=140^{\circ}\). Then divide both sides by 2: \(x=\frac{140^{\circ}}{2}=70^{\circ}\).

Answer:

\(70^{\circ}\)