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Sara constructs quadrilateral ABCD with diagonal AC = 6 cm.
In triangle ABC, angle BAC = 30°; in triangle ACD, angle ACD = 40°.
These two given angles, together with AC and two more sides, total how many measurements?

Class 8Constructing QuadrilateralsGeometry
  • A4
  • B5
  • C10
  • D6

Step-by-Step Solution

Diagonal AC (1) + two sides (2) + two angles, 30° and 40 deg (2) = 5 measurements, exactly the count for a unique quadrilateral.
Answer: B) 5

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