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Rasek [7]
2 years ago
11

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

Mathematics
1 answer:
8090 [49]2 years ago
7 0

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

∡ LNM + ∡ MNI = 180°

∡ LNM = 180° - (19<em>x</em> + 2)°

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

∡ LNM + ∡ NML + ∡ MLN = 180°

(180° - (19<em>x</em> + 2))° + (15<em>x</em> - 2)° + (6<em>x</em>)° = 180°

Solve for <em>x</em> (I'll omit the degree symbol):

180 - 19<em>x</em> - 2 + 15<em>x</em> - 2 + 6<em>x</em> = 180

2<em>x</em> - 4 = 0

2<em>x</em> = 4

<em>x</em> = 2

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

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