AlgebraMediumLargest angle of a quadrilateral from expressions
Algebra practice question
The measures of the four angles of a quadrilateral are x°, (x + 10)°, 2x°, and (2x − 10)°. What is the measure, in degrees, of the largest angle?
Answer: 120
The angles sum to 360: x + x + 10 + 2x + 2x − 10 = 6x = 360 → x = 60. The largest is 2x = 120.
Common wrong answers
- If you answered 60
- 60 is x, the smallest angle.
- If you answered 70
- 70 is x + 10, the second angle.
- If you answered 110
- 110 is 2x − 10.
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