Question

In the parallelogram given below ,find the value of the unknowns ?


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Answer 1

We know,

Sum of interior angles of a △= ${180}^{\degree}$

Thus, $2x + 3x + 4x = {180}^{\degree}$

⇒ $9x = {180}^{\degree}$

⇒ $\cancel{9x} = \cancel{{180}^{\degree}}$

⇒ $x = {20}^{\degree}$

And we know that, opposite angles of a parallelogram are same.

∴ $x = y$

⇒$y = {20}^{\degree}$.

Henceforth, both the variables are same having measurement of ${20}^{\degree}$.

More about a Parallelogram:-

• The opposite sides of a Parallelogram are same and parallel.
• It is denoted by ${||}^{gm}$.
• The diagonals bisect each other.
• Opposite angles are same.