The height of an isosceles trapezoid is 6 and the bases are 4 and 20. Find the measures of the angles.

The measure of the angles are , , and

Explanation:

The height of an isosceles trapezoid is 6.

The bases are 4 and 20.

The image of the trapezoid showing these measurements is attached below:

Thus, DC = 4 and AB = 20.

Using pythagorean theorem,

AB =

Thus, AB = 10

Now, we shall determine the angles and

To determine , let us add and and equating it to 180°

Since, and , we have,

and

Thus, the measures of the angles of the trapezoid are , , and

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