Question

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

Explanation:

Step1: Recall triangle angle sum

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

Step2: Identify right angle

In a right isosceles triangle, one angle is \(90^\circ\) (right angle).

Step3: Let base angles be \(x\)

Since it's isosceles, the two base angles are equal (\(x = x\)). So, \(90^\circ + x + x = 180^\circ\).

Step4: Solve for \(x\)

Simplify: \(2x = 180^\circ - 90^\circ = 90^\circ\). Then \(x=\frac{90^\circ}{2}=45^\circ\).

Answer:

\(45^\circ\) (the option with \(45^\circ\))