NCERT Class 8 Mathematics Solutions: Chapter 3 –Understanding Quadrilaterals Exercise 3.3 Part 5

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Given figure is a parallelogram find x and y

The Quadrilateral is a Parallelogram Find X and Y

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Question: 8 The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm)

(i)

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A Figure is GUNS Parallelogram

(ii)

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A Figure is RUNS Parallelogram

Answer:

(i) In parallelogram GUNS

[Opposite sides of parallelogram are equal]

Also, [Opposite sides of parallelogram are equal]

Hence, and.

(ii) In parallelogram SRUN

and

Hence, and .

Question: 9 In the figure, both RISK and CLUE are parallelograms. Find the value of.

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In the Figure Both RISK and CLUE Are Parallelograms

Answer:

In RISK parallelogram.

Adjacent angles of a parallelogram are supplementary]

In CLUE parallelogram.

Opposite angles of a parallelogram are equal]

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RISK and CLUE Parallelograms and ∆EOS Are Shown

Now, let take O center point. So, in

[Sum of measure of all the interior angles of triangle is

Hence,