Question

Three angle of quadrilateral are 90, 80 and 105 find
the fourth angel.​

Answer 1

☆ Solution ☆

Given :-

• Three angle of quadrilateral are 90°, 80° and 105.

To Find :-

• The fourth angle of quadrilateral.

Step-by-Step-Explaination :-

As we know that :-

Sum of all angles of quadrilateral = 360°

So,

Let the fourth angle be x

Therefore,

90 + 80 + 105 + x = 360°

275 + x = 360°

x = 360 - 275

x = 85°

Hence,

The fourth angle of quadrilateral = 85°

Answer 2

Given

• Three angles of a quadrilateral are 90°, 80° and 105°.

⠀

To find

• Fourth angle of the quadrilateral.

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Solution

• Let the fourth angle of quadrilateral be x.

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We know that

⠀

★ Sum of all angles of a quadrilateral is 360°.

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According to the question

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→ 90° + 80° + 105° + x = 360°

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→ 275° + x = 360°

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→ x = 360° - 275°

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→ x = 85°

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Hence,

• The fourth angle of the quadrilateral is 85°.