Question

the angel of quadrilateral are respectively 100°98°92°find the fourth angle​

Answer 1

AnswEr :

• The fourth angle of a quadilateral is

Explanation :

We are given with the three angles of a quadrilateral, that is,

• 100°, 98°, 92°.

We have to find out the fourth angle of a quadrilateral.

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Now,

Let us assume that, the fourth angle of a quadrilateral is "x"$.$

We know that, if we are given with the three angles of a quadrilateral then we have the required formula, that is,

⠀

⠀

→ The sum of all four angles of a quadrilateral is 360°. This statement is known as 'angle sum property of a quadrilateral'.

⠀

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Substituting the given values in the formula,

⇒ 100 + 98 + 92 + x = 360

⇒ 198 + 92 + x = 360

⇒ 290 + x = 360

⇒ x = 360 - 290

⇒ x = 70

Hence, the fourth angle of a quadrilateral is 70°.

Answer 2

Answer:

Given

• Angel of quadrilateral = 100⁰,98⁰,92⁰

To Find

Fourth angle of Quardilateral

Solution :-

Let the fourth angle be x.

As we know that sum of all sides of a quadrilateral is 360⁰.

$\sf \mapsto \: 100 \degree \: + 98\degree + 92\degree + x\degree = 360\degree$

$\sf \mapsto \: 198\degree + 92\degree + x\degree = 360\degree$

$\sf \mapsto \: 29\degree + x\degree = 360\degree$

$\sf \mapsto \: x\degree = 360\degree - 290\degree$

$\sf \mapsto \: x\degree = 70\degree$

Therefore

Fourth angle of Quardilateral is 70⁰.