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# The opposite angles of a cyclic quadrilateral are x and 3x. What are the measures of the angles of this quadrilateral?

Answer :

As we know that

__Sum of Opposite angles of cyclic quadrilateral are supplementary__

If the opposite angles are x & 3x

∴ x + 3x = 180°

∴ 4x = 180°

∴ x =

∴ x = 45°

⇒ 3x = 3*45° = 135°

Hence the angles are

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The opposite angles of a cyclic quadrilateral are x and 3x. What are the measures of the angles of this quadrilateral?

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