Question

7 find the measure of ∠4. 113° 67° 33.5° 113°

Explanation:

Step1: Recall triangle - angle sum property

The sum of angles in a triangle is 180°. In the larger triangle with the 113° angle, the other two non - 113° angles are equal (since the figure has congruent side markings indicating an isosceles triangle situation). Let the measure of each of those angles be \(x\). So, \(113^{\circ}+2x = 180^{\circ}\).

Step2: Solve for \(x\)

Subtract 113° from both sides: \(2x=180^{\circ}- 113^{\circ}=67^{\circ}\). Then divide by 2: \(x = 33.5^{\circ}\). Angle 4 is one of those equal angles.

Answer:

33.5°