Question

In the parallelogram ABCD, ∠A = 5x and ∠B = 4x. ∴ The measure of x is ______.

पर्याय

• 40°

• 20°

• 45°

• 30°

Answer 1

In the parallelogram ABCD, ∠A = 5x and ∠B = 4x. ∴ The measure of x is 20°.

Explanation:

Step 1: Use the property of a parallelogram

In a parallelogram, the sum of any two consecutive angles is 180°.

Given the angles ∠A = 5x and ∠B = 4x, we can set up the following equation:

∠A + ∠B = 180°

5x + 4x = 180°

Step 2: Solve for x

Combine the terms on the left side of the equation:

9x = 180°

Divide both sides by 9 to find the value of x:

`x = 180^circ/9`

x = 20°