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Three of the angles in a quadrilateral measure 10°, 83°, and 26°. What is the measure of the fourth angle?

Question

Three of the angles in a quadrilateral measure 10°, 83°, and 26°. What is the measure of the fourth angle?

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Solution

To find the measure of the fourth angle in a quadrilateral, you need to know that the sum of all angles in a quadrilateral is 360 degrees.

Step 1: Add the measures of the three given angles: 10° + 83° + 26° = 119°

Step 2: Subtract the sum of the three given angles from 360° to find the measure of the fourth angle: 360° - 119° = 241°

So, the measure of the fourth angle is 241°.

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