Question

Analyze the diagram below and complete the instructions that follow.

If mZK = 82°, find mZL, M2M, and mZN.
A. m L = 82°, m_M= 82°, m N=98°
B. MZL = 82°, mZM = 989, m N= 98°
C. mL = 98°, mM= 82°, m N= 98°
D. MZL = 98°, mZM = 98°, mZN= 82°

Answer 1

c

Explanation:

C is your answer. Since this is a parallelogram, is means that there are two sets of sides with the same length. Because the measurement of angle K is 82 the angle directly opposite would have the same measurement. That's why angle M is also 82. When you add all the angles of a quadrilateral it adds up to 360 degrees. multiply 82 by 2 to get 164 and subtract that from 360 to get 196. you then have to divide that by 2 and you will get 98 which is the measurement for both angles L and N

Answer 2

The correct answer is option C.

m<L = 98°, m<M = 82° and m<N = 98°

Explanation:

From the figure we can see a parallelogram KLMN

Properties of parallelogram

1)Opposite sides are equal and parallel.

2) Opposite angles are equal.

3) Adjacent angles are supplementary.

To find the correct option

It is given that, m<K = 82°

By using properties of parallelogram we get

m<L = 98°, m<M = 82° and m<N = 98°

Therefore the correct answer is option C