The sum of three angles of a quadrilateral is 5 times the fourth angle. Find the fourth angles.
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Question

The sum of three angles of a quadrilateral is 5 times the fourth angle. Find the fourth angles.

KnowledgeBoat · Accepted 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°.

Mathematics

The sum of three angles of a quadrilateral is 5 times the fourth angle. Find the fourth angles.

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