Question

Use 2-3 sentences to explain, in your own words, why the two acute angles in a right

triangle are complementary using the following vocabulary words: right triangle, acute
angles, angle sum theorem, and degrees.

Answer 1

In a right triangle, we know that there is one 90 degree angle and two acute angles. The angle sum theorem states that the sum of all angles in a triangle equal 180 degrees. For this reason, we know that these two acute angles must equal 90 degrees or be complementary angles to add up with the 90 degree right angle and equal 180.

I hope this helps!

Answer 2

In a right triangle, the angle opposite the hypotenuse is always 90 degrees. The angle sum theorem states that the sum of the interior angles of a triangle is 180 degrees. Therefore, the other two angles sum to 90 degrees, which means they are complementary. They are also acute angles, since they are each less than 90 degrees.