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★ Concept
This question is related to construction of quadrilateral when 2 sides and 3 angles are given. To solve this question, Consider the base whose both angles are given.
Steps of construction
- A line segment AB of length 6 cm is drawn.
- At point A, an angle of 72° is drawn.
- At point B, an angle of 110° is drawn.
- With B as a centre, draw an arc of radius 5 cm.
- At point D draw an angle of 90°.
- Join DC
Hence, ABCD is the required Quadrilateral
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Additional information
- We atleast need 5 information for constructing a Quadrilateral. But If we have less than 5 information,we can construct a Special type of quadrilateral
- Special type of quadrilateral - Square, Rectangle, kite, trapezium, parallelogram and rhombus.
Note - Please refer to the attachment for diagram
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