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In the given figure, two congruent circles with centres O and O' intersect at A and B. If ∠AOB = 50°, then find ∠APB.

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In the given figure, if ∠AOB = 80° and ∠ABC = 30°, then find ∠CAO.

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In the given figure, A is the centre of the circle. ABCD is a parallelogram and CDE is a straight line. Find ∠BCD : ∠ABE.

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In the given figure, AB is a diameter of the circle such that ∠A = 35° and ∠Q = 25°, find ∠PBR.

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In the given figure, P and Q are centres of two circles intersecting at B and C. ACD is a straight line. Then, ∠BQD =

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In the given figure, if O is the circumcentre of ∠ABC, then find the value of ∠OBC + ∠BAC.

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If the given figure, AOC is a diameter of the circle and arc AXB = \[\frac{1}{2}\] arc BYC. Find ∠BOC.

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In a circle, the major arc is 3 times the minor arc. The corresponding central angles and the degree measures of two arcs are
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In a parallelogram ABCD, write the sum of angles A and B.
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If ABC is an arc of a circle and ∠ABC = 135°, then the ratio of arc \[\stackrel\frown{ABC}\] to the circumference is ______.
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In a parallelogram ABCD, if ∠D = 115°, then write the measure of ∠A.
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The chord of a circle is equal to its radius. The angle subtended by this chord at the minor arc of the circle is
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In a parallelogram ABCD, if ∠A = (3x − 20)°, ∠B = (y + 15)°, ∠C = (x + 40)°, then find the values of xand y.
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In a parallelogram ABCD, the bisector of ∠A also bisects BC at X. Find AB : AD.
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PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?
∠P = 100°, ∠Q = 80°, ∠R = 95°
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We get a rhombus by joining the mid-points of the sides of a
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The figure formed by joining the mid-points of the adjacent sides of a rhombus is a
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The figure formed by joining the mid-points of the adjacent sides of a parallelogram is a
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ABCD is a parallelogram in which diagonal AC bisects ∠BAD. If ∠BAC = 35°, then ∠ABC =
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P is the mid-point of side BC of a parallelogram ABCD such that ∠BAP = ∠DAP. If AD = 10 cm, then CD =
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