Consider the statements: 1. The angle in a sector greater than a semi-circle is less than a right angle. 2. If two sides of a pair of opposite sides of a cyclic quadrilateral are equal, then its diagonals are also equal. Which of the statements is/are correct?
A.Neither 1 nor 2
B.2 only
C.1 only
D.Both 1 and 2✓ Correct
Explanation
1: Angle in a major arc (sector greater than semicircle) is less than 90°. True (inscribed angle in major arc = half of minor arc < 180°/2 = 90°). 2: Cyclic quad with equal opposite sides forms an isosceles trapezium, whose diagonals are equal. Both correct.
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