Question

in the figure shown, the measures of all angles are equal, and ab = ef. what are the measures of the angles in △abc? a. 60 60 60 b. 90 60 30 c. 90 45 45 d. 70 60 50

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is always 180°.

Step2: Analyze equal - angle condition

Since the measures of all angles in the triangles are equal, let each angle be \(x\). Then \(x + x+x=180^{\circ}\).

Step3: Solve for the angle measure

Combining like - terms gives \(3x = 180^{\circ}\), and dividing both sides by 3, we get \(x = 60^{\circ}\).

Answer:

A. 60, 60, 60