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Understanding Quadrilaterals

Short Answer Type

91.

Two regular polygons are such that the ratio of the measures their interior angles is 4 : 3 and the ratio between their number of sides is 2 : 1. Find the number of sides of each polygon.

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92.

In the following figure, both RISK and CLUE are parallelogram. Find the value of x.

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93.
Explain how this figure is a trapezium. Which of its two sides are parallel?

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i.e. $space space space space space angle straight M space and space angle straight L$ are suppelementary.

∴ $NM with bar on top space parallel to KL with bar on top$ (∵ If interior opposite angles along the transversal are supplementary)

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94.

Find $space space straight m angle straight C$ in the adjoining if $space space space space stack A B with bar on top space parallel to stack D C with bar on top$

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95.

In a parallelogram ABCD, if $space space straight m angle straight A equals 124 degree$ , then find the $space straight m angle straight B$ .

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96.

PQRS is a parallelogram such that $space space straight m angle straight R space equals 110 degree$ , then find $space space straight m angle straight P space and space angle straight S$ ,