Question

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

Answer 1

nmp 63 lmp 74.........

Answer 2

angle NMP = 63°

angle LMP = 74°

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°