Figure ABCD is a parallelogram. What is the value of n? 3, 5, 17, 25

Solution:

Given, the measurement of angle D is (4n - 2)°

The measurement of angle B is (2n + 32)°

We have to find the value of n.

In a parallelogram, the opposite sides and opposite angles are equal.

So, angle D = angle B

4n - 2 = 2n + 32

On rearranging

4n - 2n = 32 + 2

By further calculation

2n = 34

Dividing both sides by 2

n = 34/2

n = 17

Therefore, the value of n is 17.

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Figure ABCD is a parallelogram. What is the value of n? 3, 5, 17, 25

Summary:

Figure ABCD is a parallelogram. The value of n is 17.