Geometry and TrigonometryMediumFourth angle of a quadrilateral
Geometry and Trigonometry practice question
Three angles of a quadrilateral measure 90°, 110°, and 75°. What is the measure, in degrees, of the fourth angle?
Answer: 85
The angles of a quadrilateral sum to 360°: 360 − 275 = 85.
Common wrong answers
- If you answered 95
- 95 is 180 − 85, treating the fourth angle as supplementary.
- If you answered 275
- 275 is the sum of the three given angles.
- If you answered -95
- −95 subtracts the three angles from 180 instead of 360.
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