Question

HELP PLEASE!!!

In parallelogram LMNO, what is the measure of angle M?

20°
60°
80°
100°

Answer 1

80

Explanation:

Answer 2

m∠M = 80°

Explanation:

In a parallelogram, opposite sides and opposite angles are congruent to each other.

⇒ m∠N = m∠L and m∠M = m∠O ..........(1)

Also, sum of any two consecutive angles of a parallelogram is supplementary that is 180°

⇒ m∠M + m∠L = 180° ...........(2)

Now, using equation (1)

m∠N = m∠L

⇒ 5x = 3x + 40

⇒ 5x - 3x = 40

⇒ 2x = 40

⇒ x = 20

⇒ m∠N = m∠L = 5x = 100°

Now, from equation (2)

m∠M + m∠L = 180°

⇒ m∠M + 100 = 180

⇒ m∠M = 80°