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Three of the angles in a quadrilateral measure 342°, 2°, and 4°. What is the measure of the fourth angle?

Question

Three of the angles in a quadrilateral measure 342°, 2°, and 4°. What is the measure of the fourth angle?

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Solution

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

First, add up the three given angles: 342° + 2° + 4° = 348°.

Then, subtract this sum from 360° to find the measure of the fourth angle: 360° - 348° = 12°.

So, the measure of the fourth angle is 12°.

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