Math, asked by st475353, 4 months ago

Thru
angles of quadrilateral exe 60°,80°, 150°
fourth
is___________​

Answers

Answered by adityak4m6le007
2

Answer

Sum of angles of a Quadrilateral = 360°

Therefore,

let the required angle be x

i.e. 60° + 80° + 150° + x =360°

290° + x = 360°

x = 360° - 290°

x = 70°

Hence, the fourth angle is 70°.

Step-by-step explanation:

Answered by Ladylaurel
2

Correct Question :-

The three angles of quadrilateral are 60°, 80°, 150°, the fourth angle is _______.

Answer :-

The three angles of quadrilateral are 60°, 80°, 150°, the fourth angle is 70°.

The fourth angle of quadrilateral is 70°.

Step-by-step explanation :-

To Find :-

  • The fourth angle of quadrilateral

Solution :-

Given that,

  • The three angles of quadrilateral are 60°, 80° and 150°.

As we know that,

Sum of all angles of quadrilateral = 360°,

  • 1st angle + 2nd angle + 3rd angle + 4th angle = 360°

Therefore,

  • 60° + 80° + 150° + fourth angle = 360°

According the question,

The fourth angle is,

=> 60 + 80 + 150 + fourth angle = 360

=> 140 + 150 + fourth angle = 360

=> 290 + fourth angle = 360

=> fourth angle = 360 - 290

=> fourth angle = 70

Hence,

  • The fourth angle of quadrilateral is 70°.
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