Math, asked by rakanau9, 1 month ago

Three angles of a quadrilateral are 90, 78 and 110. Find the fourth angle​

Answers

Answered by khanhome007
1

Answer:

sum of angles in a quadriletaral=360

110+50+40+x=360

200+x=360

x=360-200

x=160

there fore the fourth angle =160

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Answered by tennetiraj86
1

Step-by-step explanation:

Given :-

Three angles of a quadrilateral are 90°, 78° and 110°

To find :-

Find the fourth angle ?

Solution :-

Given angles of a quadrilateral are 90°, 78° and 110°

Let the fourth angle be X°

We know that

The sum of all the four angles in a quadrilateral is 360°

=> 90°+78°+110°+X° = 360°

=> 278°+X° = 360°

=> X° = 360°-278°

=> X° = 82°

Therefore, X° = 82°

Answer:-

The fourth angle of the quadrilateral is 82°

Used formulae:-

→ The sum of all the four angles in a quadrilateral is 360°

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