Q. 25.0( 1 Vote )
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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