Question

1. given the isosceles triangle, what is the measure of one base angle?

a. 68
b. 46
c. 136
d. 44

Explanation:

Step1: Recall triangle angle sum property

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

Step2: Use isosceles triangle property

In an isosceles triangle, the base angles are equal. Let the measure of each base angle be \(x\).
We know the vertex angle is \(44^{\circ}\). So, \(x + x+44^{\circ}=180^{\circ}\).
This simplifies to \(2x=180^{\circ}- 44^{\circ}\).
\(2x = 136^{\circ}\).
Then \(x=\frac{136^{\circ}}{2}\).

Answer:

A. 68