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The sides of a quadrilateral are produced in order. What is the sum of the four exterior angles?
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In Fig. 16.21, the bisectors of ∠A and ∠B meet at a point P. If ∠C = 100° and ∠D = 50°, find the measure of ∠APB.
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In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angle of the quadrilateral.
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In a quadrilateral ABCD, CO and DO are the bisectors of ∠C and ∠D respectively. Prove that \[∠COD = \frac{1}{2}(∠A + ∠B) .\]
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The measure of angles of a hexagon are x°, (x − 5)°, (x − 5)°, (2x − 5)°, (2x − 5)°, (2x + 20)°. Find the value of x.
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In a convex hexagon, prove that the sum of all interior angle is equal to twice the sum of its exterior angles formed by producing the sides in the same order.
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The sum of the interior angles of a polygon is three times the sum of its exterior angles. Determine the number of sided of the polygon.
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Determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 5.
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PQRSTU is a regular hexagon. Determine each angle of ΔPQT.
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Find the volume of a cube whose side is 4 cm .
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Find the volume of a cube whose side is 8 cm .
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Find the volume of a cube whose side is 1.5 dm .
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Find the volume of a cube whose side is 1.2 m .
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Find the volume of a cube whose side is 25 mm .
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What will happen to the volume of a cube, if its edge is halved ?
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What will happen to the volume of a cube, if its edge is trebled?
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A cube A has side thrice as long as that of cube B. What is the ratio of the volume of cube A to that of cube B?
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Suppose that there are two cubes, having edges 2 cm and 4 cm, respectively. Find the volumes V1and V2 of the cubes and compare them.
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Find the volume in cubic decimetre of the cube whose side is 1.5 m.
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Find the volume in cubic decimetre of the cube whose side is 75 cm.
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