Question

RISK and CLUE are two parallelogram in above figure, FIND THE VALUE OF X
IF <R = 100°, <L= 70°
I got the answer but I am not sure my answer =30⁰ ​

Answer 1

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Parallelogram RISK

Parallelogram CLUE

∠K = 120°

∠L = 70°

To Find :–

Value of x

Solution :–

For find the value of x.

First we need to know the value of ∠S & ∠E.

So,

In parallelogram RISK,

【The adjacent angles of a Parallelogram are supplementary (180°)】

∠K + ∠S = 180°

120° + ∠S = 180°

∠S = 180° - 120°

∠S = 60°

In parallelogram CLUE,

∠L = ∠E

【Opposite sides of parallelogram are equal】

∠E = 70°

So,

∠S = 60°

∠E = 70°

Now,

In ∆EOS,

Sum of angles = 180°

∠E + ∠S + x = 180°

70° + 60° + x = 180°

130° + x = 180°

x = 180° - 130°

x = 50°

Hence,

The value of x = 50°