Question

MNPS is a parallelogram. If angle M=110° angle N=70° then find the measure of angle P and angle S .​

Answer 1

Answer:

Answer is attached

Step-by-step explanation:

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Answer 2

Given:

Angle M=110°

Angle N=70°

To find:

Angle P and Angle S

Solution:

The measure of angle P is 110° and angle S is 70°.

We can find the measure by following the given steps-

We know that MNPS is a parallelogram.

So, MN is parallel to PS.

The corresponding angles between two parallel lines are supplementary.

The sum of angle M and angle S=180° (1)

Similarly, the sum of angle N and angle P=180° (2)

We are given the following-

Angle M=110°

Angle N=70°

Using the values, we can find the other angles of the parallelogram.

Putting the measure of angle M in equation (1), we get

Angle M+Angle S=180°

110°+ angle S=180°

Angle S=180°-110°=70°

Similarly, putting the measure of angle N in equation (2), we get

Angle N+Angle P=180°

70°+Angle P=180°

Angle P=180°-70°=110°

Therefore, the measure of angle P is 110° and angle S is 70°.