Question

find the measure of each base angle in the figure below. 62° 28° 56° 124°

Explanation:

Step1: Recall the property of isosceles triangle

In an isosceles triangle, the base angles are equal. Let the measure of each base angle be \(x\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). So, \(x + x+124^{\circ}=180^{\circ}\).
Simplify the left - hand side: \(2x + 124^{\circ}=180^{\circ}\).
Subtract \(124^{\circ}\) from both sides: \(2x=180^{\circ}- 124^{\circ}\).
\(2x = 56^{\circ}\).
Divide both sides by 2: \(x=\frac{56^{\circ}}{2}\).
\(x = 28^{\circ}\).

Answer:

\(28^{\circ}\)