Question

The three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its
fourth angle.

Answer 1

Answer:

Let the forth angle be x

we know that,

sum of quadrilateral is 360⁰

then,

110 +50+ 40+x =360⁰

200+x = 360

x= 360-200

x= 160

Fourth angle = 160⁰

Answer 2

AnswEr :

Fourth angle is 160°.

Here we're given with a general quadrilateral with angles as 110°, 50° and 40°. And fourth angle is unknown.

We know that the sum of all angles of a quadrilateral is 360°.

So, let us assume that fourth angle be x.

Accordingly,

$\longrightarrow$ ∠1 + ∠2 + ∠3 + ∠4 = 360

$\longrightarrow$ 110° + 50° + 40° + x = 360

$\longrightarrow$ 200 + x = 360

$\longrightarrow$ x = 360 - 200

$\longrightarrow$ x = 160°

Therefore, the unknown fourth angle is 160°.

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⠀⠀⠀Additional information :

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There are 2 properties of quadrilaterals :

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• A quadrilateral is a closed shape with 4 edges.

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• Sum of the interior angles is 360°.