Question

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

Answer 1

Given :–

1. Parallelogram RISK
2. Parallelogram CLUE
3. ∠K = 120°
4. ∠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°

Answer 2

Answer:

Step-by-step explanation: