Question

What is the measure of angle M of parallelogram MNOP in this figure?​

Answer 1

Answer:

95

Step-by-step explanation:

Angle M is 95 degrees. Angle O is opposite to angle M. What are the measures of the three remaining angles? Measure of ...

Answer 2

The measure of angle M of the given parallelogram is 117°.

Given:

a parallelogram as shown in the image below

∠P = 10x - 27

∠N = 7x

To Find:

the measure of angle M

Solution:

we know that the opposite angles of a parallelogram are equal

⇒ ∠P = ∠N

so, 10x - 27 = 7x

10x - 7x = 27

3x = 27

x = 27/3

x = 9

⇒ ∠N = 7 × 9 = 63°

also, the sum of the adjacent sides of a parallelogram is 180

⇒ ∠M + ∠N = 180

∠M + 63 = 180

∠M = 180 - 63

∠M = 117

Thus, the measure of angle M of the given parallelogram is 117°.

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