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3 years ago

HELP PLEASE. For parallelogram LMNO, if m∠L = 3x - 25 and m∠N = 2x - 10, find m∠M.

Mathematics

2 answers:

Anettt [7]3 years ago

7 0

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°

Agata [3.3K]3 years ago

3 0

Measurement of angle M = 33 degrees

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lutik1710 [3]

Answer:

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4 years ago

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Sonbull [250]

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