Question

One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 30 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.

Answer 1

60 degrees because if the smallest angle is 20 degrees your going to times that by 3 and that leaves you with 60 degrees

Answer 2

largest angle = 90°

Explanation:

let the smallest angle be x then and other 2 angles are 3x and x + 30

the sum of the 3 angles in the triangle sum to 180° , that is

x + 3x + x + 30 = 180

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

3x = 3 × 30 = 90

x + 30 = 30 + 30 = 60

the 3 angles are 30° , 60° , 90°

with 90° being the largest