Mathematics
The sum of three angles of a quadrilateral is 5 times the fourth angle. Find the fourth angles.
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Answer
It is given that the sum of three angles of a quadrilateral is 5 times the fourth angle.
Let the fourth angle be a°.
So, the sum of the three angles is 5a°.
As we know that the sum of all angles of quadrilateral is 360°.
⇒ 5a° + a° = 360°
⇒ 6a° = 360°
⇒ a° =
⇒ a° = 60°
Hence, the fourth angle is 60°.
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