Answer: Option D. 90°
Explanation:
The sum of angles in a triangle = 180°
3x + (x — 15) + (2x + 15) = 180
Clear the bracket
3x + x — 15 + 2x + 15 = 180
6x = 180
Divide both side by 6
x = 180/6 = 30
Substituting the value of, we have:
3x = 3 x 30 = 90
x — 15 = 30 — 15 = 15
2x + 15 = 2(30) + 15 = 60 + 15 = 75
The greatest angle is 90°