given the sum of the three angles of a triangke is 180 degrees. the medium angle is twice the small angle, and the larger angle is three times the small angle. find the measures of the three angles of the triangle. tell the name of this type of triangle

Remark

Three angles add to 180o.

The smallest angle = x

The middle angle = 2x

The largest angle = 3x

Solve

x + 2x + 3x = 180

6x = 180

x = 180 / 6

x = 30

Answers

The smallest angle is 30

The middle angle is 30*2 = 60

The largest angle is 30*3 = 90

This is a 30 - 60 - 90 right triangle