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Question
In the parallelogram ABCD, ∠A = 5x and ∠B = 4x. ∴ The measure of x is ______.
Options
40°
20°
45°
30°
MCQ
Fill in the Blanks
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Solution
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°
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