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Alexxandr [17]
3 years ago
15

Given: KLMN is a rectangle m∠NKM = 58° MP −∠ bisector of ∠KML Find: m∠KPM

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
8 0
According to the rule of angles and parallel lines, we can say that ∠NKM and ∠KML are equal because they are alternate angles. Since MP is a bisector, ∠KMP = ∠LMP = 1/2∠NKM = 29°. We know that ∠MKL = 90°-∠NKM = 32°. According to the sum of all angles of the triangle, ∠KPM = 180-(32+29) = 119°.

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I'll do problem 1 to get you started.

The vertical sides are 3 and x for the left and right figures.

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Another way you can see this is note how the jump from 15 to 60 is "times 4", so the jump from 3 to x must also be "times 4" to keep the same proportion

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Or you could set up the proportion

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<h3>Final Answer: 12</h3>
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