NCERT Class 8 Mathematics Solutions: Chapter 3 – Understanding Quadrilaterals Exercise 3.3 Part 5 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Given Figure is a Parallelogram Find X and Y

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

(i)

Image

A Figure is GUNS Parallelogram

(ii)

Image

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 .

Image

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]

Image

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,