The measures of the angles of a triangle are in the ratio 1:3:5. What is the measure of the largest angle of this triangle?

Question

The measure of the angles of a triangle are in the ratio 1:3:5. What is the measurement of the largest angle?

Answer 1

Let the measures, in degrees, be x, 3x & 5x, so 9x = 180.  x = 20; largest angle measures 20(5) = 100 degrees.