Question

4 from unit 1, lesson 15 triangle def is a right triangle, and the measure of angle d is 28°. what are the measures of the other two angles? learning targets + i can apply dilations to polygons on a rectangular grid if i know the coordinates of the vertices and of the center of dilation.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. In a right - triangle, one angle is 90°. Let the angles of the right - triangle DEF be ∠D, ∠E, and ∠F, where ∠D = 28° and ∠F=90°.

Step2: Set up the equation

We know that ∠D+∠E + ∠F=180°. Substitute the known values: 28°+∠E + 90°=180°.

Step3: Solve for ∠E

First, simplify the left - hand side of the equation: 118°+∠E = 180°. Then, subtract 118° from both sides: ∠E=180° - 118° = 62°.

Answer:

One angle is 90° (since it is a right - triangle) and the other non - given angle is 62°.