Question

from unit 1, lesson 18. 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 triangle - angle sum property

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

Step2: Substitute known values

Substitute ∠D = 28° and ∠E = 90° into the equation ∠D+∠E + ∠F=180°.
We get 28°+90°+∠F = 180°.

Step3: Solve for ∠F

First, add 28° and 90°: 28°+90° = 118°.
Then, the equation becomes 118°+∠F = 180°.
Subtract 118° from both sides: ∠F=180° - 118°=62°.

Answer:

The measures of the other two angles are 90° and 62°.