Geometry and TrigonometryEasy–MediumLargest angle of a quadrilateral from a ratio
Geometry and Trigonometry practice question
The measures of the four interior angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. What is the measure, in degrees, of the largest angle?
Answer: 144
The angles sum to 360 and the ratio has 1 + 2 + 3 + 4 = 10 parts, so one part is 36°. The largest angle is 4 × 36 = 144°.
Common wrong answers
- If you answered 36
- 36 is one part (the smallest angle), not the largest.
- If you answered 40
- 40 divides 360 by 9 parts instead of 10.
- If you answered 72
- 72 uses 180 as the angle sum, as if the shape were a triangle.
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- Easy–Medium
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A circle has a radius of 5. What is its circumference? (Use C = 2πr.) - Easy–Medium
What is the midpoint of the segment joining the points (2, 3) and (8, 11)? - Easy–Medium
What is the measure, in degrees, of angle B? - Easy–Medium
What is the area, in square centimeters, of the trapezoid?
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