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Romashka-Z-Leto [24]
4 years ago
14

If angle LMPis 11 degrees more than angle NMP and angle NML is 137 find each measure.

Mathematics
2 answers:
11Alexandr11 [23.1K]4 years ago
8 0
Nmp 63 lmp 74.........
OLEGan [10]4 years ago
7 0

Answer:

angle NMP = 63°

angle LMP = 74°

Step-by-step explanation:

Let angle NMP be x° . It's given that angle LMP is 11° more than angle NMP. So, angle LMP = x° + 11°

But angle NML = 137°.

So,

angle NMP + angle LMP = 137°

=> x° + x° + 11° = 137°

=> 2x° + 11° = 137°

=> 2x° = 137° - 11°

= 126°

=> x° = 126/2 = 63°

angle NMP = 63°

angle LMP = 63 + 11 = 74°

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