Question

4. The angles of a quadrilateral are 90°, 80°, 125° and x'. Find the value of x.​

Answer 1

Answer:

The value of x is 65°

Step-by-step explanation:

Sum of all the angles of a quadrilateral = 360°

∴ 90° + 80° + 125° + x = 360°

∴ 295° + x = 360°

∴ x = 360° - 295°

∴ x = 65°

Answer 2

• Value is x is 65°.

Step-by-step explanation:

Given:-

• Angles of quadrilateral are 90°, 80°, 125° and x°.

To find:-

• Value of x.

Solution:-

We know,

Sum of all interior angles of quadrilateral is 360°.

So,

$\longrightarrow$ 90° + 80° + 125° + x° = 360°

$\longrightarrow$ 295° + x° = 360°

$\longrightarrow$ x° = 360° - 295°

$\longrightarrow \boxed{\sf \bold{x \degree = 65\degree}}$

Verification:-

$\longrightarrow$ 90° + 80° + 125° + x° = 360°

• Put x = 65°

$\longrightarrow$ 90° + 80° + 125° + 65° = 360°

$\longrightarrow$ 295° + 65° = 360°

$\longrightarrow$ 360° = 360°

$\boxed{\sf Hence \: Proved.}$

Therefore,

Value of x is 65°.

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Let's Read more about quadrilaterals:-

Quadrilateral are those figures which have four sides.

For example :-

• Rhombus - It's all sides are equal and it's diagonal bisect each other.
• Rectangle - It's opposite sides are equal and parallel.
• Parallelogram - It's opposite angles and sides are equal and parallel.
• Square - It's all sides are equal and parallel.
• Trapezium - It's one pair of opposite sides are parallel.
• Kite - It's two pair of adjacent sides are equal and Diagonals are perpendicular to each other.