Answer: 3x - 2 + 7x - 6 + x, 46°, 118°, 16° in that order
Step-by-step explanation:
We know that the sum of the angles in a triangle is 180° so we can write the equation
(3x - 2) + (7x + 6) + x = 180
3x + 7x + x - 2 + 6 = 180
11x + 4 = 180
11x + 4 - 4 = 180 - 4
11x = 176
x = 176 ÷ 11 = 16 meaning that angle N = x = 16°
From here we can work out angle L = 3x - 2 = 3 × 16 - 2 = 48 - 2 = 46°
And angle M = 7x + 6 = 7 × 16 + 6 = 118°
