Kevin is making a set of candles to give as a gift. the first candle is a triangular prism with a height of 17 centimeters. the base is a triangle with two angles measuring 90 degrees and 65 degrees. what is the measure of the third angle? show work

The measure of the third angle is 25°

Step-by-step explanation:

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

Let

x> the measure of the third angle

90°+65°+x=180°

Solve for x

155°+x=180°

x=180°-155°

x=25°

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.