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Three of the angles in a quadrilateral measure 312°, 21°, and 6°. What is the measure of the fourth angle?

Question

Three of the angles in a quadrilateral measure 312°, 21°, and 6°. What is the measure of the fourth angle?

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Solution

The sum of the angles in a quadrilateral is 360 degrees.

First, add up the three given angles: 312° + 21° + 6° = 339°

Then, subtract this sum from 360° to find the measure of the fourth angle: 360° - 339° = 21°

So, the measure of the fourth angle is 21 degrees.

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