NCERT - Mathematics

Book: NCERT - Mathematics

Chapter: 3. Understanding Quadrilaterals

Subject: Maths - Class 8th

Q. No. 9 of Exercises 3.3

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9

In the above figure both RISK and CLUE are parallelograms. Find the value of x.

Adjacent angles of a parallelogram are supplementary

In parallelogram RISK,


RKS + ISK = 180°


120° + ISK = 180°


ISK = 60°


And, opposite angles of a parallelogram are equal


In parallelogram CLUE,


ULC = CEU = 70°


The sum of the measures of all the interior angles of a triangle is 180o


x + 60° + 70° = 180°


x = 50°


11

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