Question

Please help me on my math homework also please note that the answer in red is wrong. (This is serious)

Answer 1

Angles LNM and MNI are supplementary, so their measures sum to 180°. This means

∡ LNM + ∡ MNI = 180°

∡ LNM = 180° - (19x + 2)°

The sum of the interior angles of any triangle is also 180°, so

∡ LNM + ∡ NML + ∡ MLN = 180°

(180° - (19x + 2))° + (15x - 2)° + (6x)° = 180°

Solve for x (I'll omit the degree symbol):

180 - 19x - 2 + 15x - 2 + 6x = 180

2x - 4 = 0

2x = 4

x = 2

Then ∡ MNI = (15•2 - 12)° = (30 - 12)° = 18°.