Answer:
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°
