In a right triangle, one acute angle measures 30o more than 4 times the other. If the sum of the measures of the two acute angles must equal 90o, find the measures of the acute angles.

Answer 1

Hi Amrissa, let x represent the unknown angle. Then 4x + 30 must equal the other angle. Together they must equal 90 degrees.

x + (4x + 30) = 90

5x + 30 = 90

5x = 60

x = 12

One angle equals 12 degrees.

The other angle equals: 4 * 12 + 30, or 78 degrees.

Questions?