A quadrilateral has three interior angles measuring 100, 110, and 90 degrees. What is the measure of the fourth angle?

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Multiple Choice

A quadrilateral has three interior angles measuring 100, 110, and 90 degrees. What is the measure of the fourth angle?

Explanation:
The total of interior angles in a quadrilateral is 360 degrees. When you add the three given angles, you get 100 + 110 + 90 = 300 degrees. The fourth angle must bring the total up to 360, so it is 360 − 300 = 60 degrees. This value fits perfectly, while the other options would make the total exceed or fall short of 360 (for example, 20 would give 320, 70 would give 370, and 150 would give 450).

The total of interior angles in a quadrilateral is 360 degrees. When you add the three given angles, you get 100 + 110 + 90 = 300 degrees. The fourth angle must bring the total up to 360, so it is 360 − 300 = 60 degrees. This value fits perfectly, while the other options would make the total exceed or fall short of 360 (for example, 20 would give 320, 70 would give 370, and 150 would give 450).

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