Question

In a prallelogram pqrs , if ∠P=(3X-5) and ∠Q=(2x+15), find the value of x

Answer 1

In a parallelogram, opposite angles are equal. Therefore, we can set the measures of ∠P and ∠Q equal to each other:

∠P = ∠Q

Substituting the given expressions for ∠P and ∠Q:

3x - 5 = 2x + 15

Now, let's solve this equation to find the value of x:

3x - 2x = 15 + 5

x = 20

Therefore, the value of x is 20.

Answer 2

In a parallelogram, opposite angles are equal. Therefore, we can set the two given angles equal to each other:

∠P = ∠Q

3x - 5 = 2x + 15

To find the value of x, we can solve this equation:

3x - 2x = 15 + 5

x = 20

So the value of x is 20.

Explanation: