1.

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

Answer»

ANSWER :

  • The fourth angle of a quadilateral is

Explanation :

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

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

_________________________

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'.

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°.



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