Class 10 Circles: Angle and Cyclic Properties Mock Test (ICSE)

Topics in Circles: Angle and Cyclic Properties

• Angle subtended at the centre and circumference
• Angles in the same segment
• Angle in a semicircle
• Cyclic quadrilaterals
• Arc and chord properties

Circles: Angle and Cyclic Properties practice questions with answers

1. Q1Multiple choice·1 mark
   $ABCD$ is a cyclic quadrilateral. If $\angle A = 3x^{\circ}$ and its opposite angle $\angle C = 2x^{\circ}$, the value of $x$ is:

   1. (a)$72$
   2. (b)$54$
   3. (c)$18$
   4. (d)$36$
   Show answer and step marks

   1. Correct option: (d) $36$+1

   Answer: (d)

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