blujay5562
blujay5562 blujay5562
  • 23-10-2020
  • Mathematics
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savannahm323
savannahm323 savannahm323
  • 23-10-2020
The answer to this is 80°
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puzzledpusheen
puzzledpusheen puzzledpusheen
  • 23-10-2020

Answer:

Angle ADB = 80 degrees

Step-by-step explanation:

This is a parallelogram so:

AD || BC

AB || DC

Using the Alternate Interior Angles Postulate, you can find that:

Angle BDC = Angle DBA

So because Angle BDC is 28 degrees, we know that Angle DBA is also 28 degrees.

Now, we can figure out what angle ADB is using the property of triangles that all the angles of add up to 180:

Angle ADB + 72 + 28 = 180

Angle ADB + 100 = 180

Angle ADB = 80

So, Angle ADB is 80 degrees.

Answer Link

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