The angles of quadrilateral are in A.P., whose common difference is 10°. Find the angles.
AP
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Question

The angles of quadrilateral are in A.P., whose common difference is 10°. Find the angles.

KnowledgeBoat · Accepted Answer

Let the four angles of the quadrilateral be in A.P. with common difference 10° be: a, a + 10°, a + 20°, a + 30° The sum of the interior angles of any quadrilateral is always 360°. ⇒ a + a + 10° + a + 20° + a + 30° = 360° ⇒ 4a + 60° = 360° ⇒ 4a = 360° - 60° ⇒ 4a = 300° ⇒ a = ⇒ a = 75° ⇒ a + 10° = 75° + 10° = 85° ⇒ a + 20° = 75° + 20° = 95° ⇒ a + 30° = 75° + 30° = 105°. Hence, the angles of quadrilateral are 75°, 85°, 95°, 105°.

Mathematics

The angles of quadrilateral are in A.P., whose common difference is 10°. Find the angles.

AP

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Mathematics

The angles of quadrilateral are in A.P., whose common difference is 10°. Find the angles.

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