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ABCD is a parallelogram. Find the measures of angles B, C, and D. SHOW YOUR WORK so I can see if it makes sense!

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User Jaquez
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Final answer:

In a parallelogram, opposite angles are equal and adjacent angles are supplementary. So if angle A is 'x', then angles B and D are '180-x', and angle C is 'x'. Without further information, we can't provide numerical measures for angles B, C and D.

Step-by-step explanation:

In a parallelogram, opposite angles are equal and adjacent angles are supplementary. Let's designate the measure of angle A as 'x'.

Since angles A and B are supplementary, the measure of angle B is 180 - x. This makes sense since the sum of measures of angles forming a straight line is 180 degrees.

As C is opposite to A in the parallelogram, the measure of angle C is equal to that of angle A, which is 'x'. As per the properties of parallelogram, opposite angles are equal.

Similarly, the measure of angle D is equal to the measure of angle B because they are opposite angles, so it's 180 - x.

Without further information, such as the measure of angle A or some other details about the parallelogram, we can't provide numerical values for x, hence the measures of angles B, C and D.

Learn more about Parallelogram Angles

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User Danilo Valente
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