Geometry and TrigonometryHardLargest angle of a quadrilateral
Geometry and Trigonometry practice question
The four angles of a quadrilateral measure x°, 2x°, 3x°, and 4x°. What is the measure, in degrees, of the largest angle?
Answer: 144
x + 2x + 3x + 4x = 360 gives x = 36, so the largest angle is 4(36) = 144.
Common wrong answers
- If you answered 36
- 36 is x, the smallest angle.
- If you answered 72
- 72 uses a total of 180 instead of 360.
- If you answered 108
- 108 is the third angle.
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