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Which of the following is a property of a parallelogram?
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If two adjacent angles of a parallelogram are (5x – 5)° and (10x + 35)°, then the ratio of these angles is ______.
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The angle between the two altitudes of a parallelogram through the same vertex of an obtuse angle of the parallelogram is 30°. The measure of the obtuse angle is ______.
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In the given figure, ABCD and BDCE are parallelograms with common base DC. If BC ⊥ BD, then ∠BEC = ______.
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The adjacent sides of a parallelogram are 5 cm and 9 cm. Its perimeter is ______.
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All rectangles are parallelograms.
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If opposite angles of a quadrilateral are equal, it must be a parallelogram.
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In parallelogram PQRS, O is the mid point of SQ. Find ∠S, ∠R, PQ, QR and diagonal PR.
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In parallelogram LOST, SN ⊥ OL and SM ⊥ LT. Find ∠STM, ∠SON and ∠NSM.
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In parallelogram MODE, the bisector of ∠M and ∠O meet at Q, find the measure of ∠MQO.
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In the following figure of a ship, ABDH and CEFG are two parallelograms. Find the value of x.
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Find the values of x and y in the following parallelogram.
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Two angles of a quadrilateral are each of measure 75° and the other two angles are equal. What is the measure of these two angles? Name the possible figures so formed.
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ABCD is a parallelogram. Find the value of x, y and z.
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ABCD is a parallelogram. The bisector of angle A intersects CD at X and bisector of angle C intersects AB at Y. Is AXCY a parallelogram? Give reason.
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A diagonal of a parallelogram bisects an angle. Will it also bisect the other angle? Give reason.
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The angle between the two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 45°. Find the angles of the parallelogram.
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ABCD is a parallelogram. Points P and Q are taken on the sides AB and AD respectively and the parallelogram PRQA is formed. If ∠C = 45°, find ∠R.
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In parallelogram ABCD, the angle bisector of ∠A bisects BC. Will angle bisector of B also bisect AD? Give reason.
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In the following figure, FD || BC || AE and AC || ED. Find the value of x.
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