Question

the largest two angles of a triangle are two and three times as large as the smallest angle. find all three measures

Answer 1

30° , 60° , 90°

Explanation:

let the smallest angle be x the the 2 larger angles are 2x and 3x

the sum of the 3 angles in a triangle = 180°

sum the 3 angles, equate to 180 and solve for x

x + 2x + 3x = 180 ( simplify left side )

6x = 180 ( divide both sides by 6 )

x = 30

2x = 2 × 30 = 60

3x = 3 × 30 = 90

the 3 angle measures are 30° , 60° , 90°