Question

1. find the value of the measure of angle a. a 13 b 60 c 26 d 13√3

Explanation:

Step1: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let \(\angle A=x\), \(\angle B = 60^{\circ}\), \(\angle C=60^{\circ}\). Then \(x + 60^{\circ}+60^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

Subtract \(120^{\circ}\) from both sides of the equation \(x+120^{\circ}=180^{\circ}\). So \(x=\angle A = 180^{\circ}-120^{\circ}=60^{\circ}\).

Answer:

\(60^{\circ}\) (Option b)