Question

LMNO is a parallelogram, with and . Which statements are true about parallelogram LMNO? Select three options.

Answer 1

In the parallelogram, m∠M is equal to m∠O, and the sum of m∠M and

m∠N is 180°.

Response:

The true statements are;

• x = 11°

• m∠N = 59°

• m∠O = 121°

Which property of parallelogram are used to find the true statements?

The possible drawing of the parallelogram LMNO created with MS Visio is attached.

From the drawing, we have;

m∠M = 11·x

m∠N = 6·x - 7

The properties of a parallelogram are;

Opposite angles are equal.

Adjacent angles are supplementary

Which gives;

11·x + 6·x - 7 = 180°

17·x = (180 + 7)° = 187°

$x = \mathbf{\dfrac{187^{\circ}}{17} }= 11^{\circ}$

m∠M = 11 × 11° = 121° = m∠O

m∠N = 6 × 11° - 7 = 59° = m∠L

Therefore;

The statements that are true are;

• x = 11°

• m∠N = 59°

• m∠O = 121°

Learn more about the properties of a parallelogram here:

brainly.com/question/7697302