Question

triangle abc is an isosceles right triangle. what is the measure of one base angle? 60° 45° 90° 30°

Explanation:

Step1: Recall triangle angle sum property

The sum of angles in a triangle is \(180^{\circ}\).

Step2: Let base angles be \(x\)

In an isosceles right - triangle, one angle is \(90^{\circ}\), and the two base angles are equal. Let each base angle be \(x\). Then \(x + x+90^{\circ}=180^{\circ}\).

Step3: Solve the equation

Combine like terms: \(2x=180^{\circ}-90^{\circ}\), so \(2x = 90^{\circ}\). Divide both sides by 2: \(x=\frac{90^{\circ}}{2}=45^{\circ}\).

Answer:

\(45^{\circ}\)