The acute angles of a right triangle always add up to....

Question

The acute angles of a right triangle always add up to

 

A. 45

B. 90

C. 180

D. cannot be determined 

 

Answer 1

A right triangle will have two acute angles that add up to 90° because the three angles of any triangle always add up to 180°. A right angle equals 90°, so the remaining two angles of a right triangle are complementary, meaning their sum is 90°.

 

Consider two of the special triangles in trigonometry: the 30-60-90 triangle and the 45-45-90 triangle. 

Answer 2

180 degrees is the famous sum of three angles, which I trust you will remember for all of your life. in a right triangle, 90 deg is used up by the right angle, so 90 deg must be the sum of the remaining two angles, each of which is acute.