For parallelogram lmno, if m∠l = 3x - 25 and m∠n = 2x - 10, find m∠m.

m∠M is 120°.

Step-by-step explanation:

Given,

LMNO is a parallelogram,

In which,

m∠L = 3x - 25 and m∠N = 2x - 10,

We know that,

The opposite angle in parallelogram are congruent or having the same measure,

Thus, by the given diagram,

m∠L = m∠N and m∠M = m∠O

⇒ 3x - 25 = 2x - 10

⇒ 3x - 2x = 25 - 10

⇒ x = 15

Hence, m∠L = 3x - 25 = 45 - 25 = 20°

⇒ m∠N = 20°

Now, the sum of all interior angle of a quadrilateral is 360°,

m∠L + m∠N + m∠M + m∠O = 360°

20° + 20° + m∠M + m∠M = 360°

40° + 2 m∠M = 360°

2 m∠M = 320°

⇒ m∠M = 160°

step-by-step explanation: