Angle ABD and angle BDE are supplementary. Find the measures of both angles.

1 answer:

3 0

By definition of supplementary angles,
∠ABD + ∠BDE = 180
5x + 17x - 18 = 180
22x = 198
x = 9

∠ABD = 5(9) = 45°
∠BDE = 180 - 45 = 135°

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Step-by-step explanation:

We're given two pieces of information:

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We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

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To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

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