Question

Assistance please!

19. Quadrilateral ABCD is a parallelogram. What is the measure of

Answer 1

First make 3x+17=5x-3 so that it’s an equation. X=10. Then you plug that into one of the equations above. 3(10)+17 which equals 47. Then we know that a quadrilaterals angles add up to 360. So we know that two angles are 47 degrees=94 then you subtract that from 360=266 then to get the individual angle you divide that by two. Which equals 133 which is your final answer!

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Answer 2

Answer:

∠ DAB = 133°

Step-by-step explanation:

The opposite angles of a parallelogram are congruent, thus

5x - 3 = 3x + 17 ( subtract 3x from both sides )

2x - 3 = 17 ( add 3 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10, thus

∠ ADC = 3x + 17 = 3(10) + 17 = 30 + 17 = 47°

In a parallelogram consecutive angles are supplementary, thus

∠ DAB = 180° - 47° = 133°