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Quadrilateral ABCD is a parallelogram. What is the measure of ∠DAB? Show your work.

(ADC = 3x+17)
(ABC = 5x-3)

User Crowman
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2 Answers

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Answer:

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Explanation:

Quadrilateral ABCD is a parallelogram. What is the measure of ∠DAB? Show your work-example-1
User Vamei
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0 votes

Answer:

∠ DAB = 133°

Explanation:

In a parallelogram ABCD, the opposite angles are equal. That means ∠ A = ∠ C and ∠ B = ∠ D.

Now, it is given that ∠ D = 3x + 17 and ∠ B = 5x - 3

So, 3x + 17 = 5x - 3

⇒ 2x = 20

x = 10

Therefore, ∠ B = 5x - 3 = 50 - 3 = 47°

Now, we know that in a parallelogram the adjacent angles are supplementary i.e. ∠ A + ∠ B = 180°

⇒ ∠ A = 180 - ∠ B = 180° - 47° = 133°

Therefore, ∠ DAB = 133° (Answer)

User ValeraZakharov
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