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

Please help me on my math homework also please note that the answer in red is wrong-example-1

1 Answer

4 votes

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°.

User TokyoToo
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