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insens350
2 months ago
4

If LMP is 11 degrees more than NMP and NML=137 find each measure

Mathematics
1 answer:
Zina [12.3K]2 months ago
5 0
Assuming angle NMP measures y degrees,
we have two known facts to form equations:
The measure of angle LMP is 11 degrees greater than that of angle NMP,
which gives:
measure of angle LMP = y + 11 ..............> equation 1
Also, the sum of angles LMP and NMP equals angle NML, which is 137 degrees.
So:
angle LMP + angle NMP = angle NML ............> equation 2

Substitute equation 1 into equation 2:
y + 11 + y = 137
2y + 11 = 137
2y = 126
y = 63 degrees

Therefore, based on the above:
angle NMP = 63 degrees
angle LMP = 63 + 11 = 74 degrees
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