Question

The largest angle of a triangle is 3 times as big as the smallest angle. The third angle is 15 degrees more than the smallest angle. Find the measure of all three angles.

Answer 1

Answer:

A = 99, B = 33, C = 48

Step-by-step explanation:

A = 3B

B + 15 = C

A+B+C = 180

3B + B + B + 15 = 180

5B = 165

B = 33

Answer 2

Answer:

33°, 48°, 99°

Step-by-step explanation:

let the smallest angle be x then the other 2 angles are 3x and x + 15

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

Sum the 3 angles and equate to 180

x + 3x + x + 15 = 180 , that is

5x + 15 = 180 ( subtract 15 from both sides )

5x = 165 ( divide both sides by 5 )

x = 33

x + 15 = 33 + 15 = 48

3x = 3 × 33 = 99

The 3 angles are 33°, 48°, 99°