The Historic Triangle in Virginia connects Jamestown, Williamsburg, and Yorktown. The interior angle at Williamsburg is 120°. The interior angle at Jamestown is twice the measure of the interior angle at Yorktown. Find the measures of the interior angles at Jamestown and Yorktown.

Interior angles at Jamestown and Yorktown are 40° and 20°, respectively

Step-by-step explanation: Jamestown, Williamsburg and Yorktown form a triangle. The sum of the interior angles of a triangle is 180°.

Suppose interior angle at Yorktown is x. As Jamestown is twice the measure at Yorktown, it means this interior angle is 2x.

Then, the measures will be:

2x + x + 120 = 180

3x = 60

x = 20

Angle at Yorktown is 20°.

So, angle at Jamestown is

2x = 2.20 = 40°

The measures of the interior angles at Jamestown and Yorktown are 40° and 20°, respectively.

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