In a right triangle, one of the acute angles is twice as large as the other acute angle. Find the measure of the two acute angles.

Question

The two acute angles are ______ degrees. 

Answer 1

Leila, we know that the three angles together equal 180 degrees, so if one is 90 (being a right triangle), then the other two must add up to 90.

 

If x = the measure of the smaller, then the larger is 2x, right?

 

x + 2x = 90

      3x = 90

        x = 30

 

The smaller is 30 and the larger is 60.

 

Hope this helps!