Question

In a parallelogram ABCD,if angle A =(2x+15) and angle B=(3x-25). Find the value of x

Answer 1

Answer:

38°

Step-by-step explanation:

We know that adjacent angles of a parallelogram are supplementary

⇒ ∠A + ∠B = 180°

⇒ 2x + 15 + 3x - 25 = 180

∴ 5x - 10 = 180

∴ 5x = 190

⇒ x = 38°

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Regards,

Soham Patil.

Answer 2

Given - Angles of the parallelogram

Find - Value of x

Solution - The value of x is 38°.

As per the fact, the adjacent angles of the parallelogram are equal to 180°. Now, representing the given information in a mathematical expression.

2x + 15 + 3x - 25 = 180

Performing addition and subtraction to find the value of x.

5x - 10 = 180

5x = 190

Performing division to find the value of x.

x = 38°

Now calculating angle A -

Angle A = 2*38 + 15

Angle A = 91°

Finally calculating angle B -

Angle B = 3*38 - 25

Angle B = 89°

Hence, the value of x is 38°.