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
in Fig 3.33 if 
and 
if 
in Fig 3.34.
is there more than one method to find 
?)