In a quadrilateral ABCD, the angles A, B, C and D are in the rat

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 Multiple Choice QuestionsTrue Or False

121.

Write ‘True’ or ‘False’ for each of the following:

A.

Every rhombus is a square.

B.

Every square is a rhombus.

 

C.

Every rhombus is a rectangle.

D.

Every rhombus is a rectangle.

E.

Every rhombus is a parallelogram.

F.

Diagonals of a rhombus need not to be equal in length.

G.

Every parallelogram is a rectangle.

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 Multiple Choice QuestionsShort Answer Type

122.

The angles of a quadrilateral are respectively 70°, 92° and 100°. Find the fourth angle.

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123.

In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 3 : 4. Find the measure of each angle of the quadrilateral.


space space space space space space space space space space space space angle straight A colon angle straight B colon angle straight C colon angle straight D=1:2:3:4

Let us suppose that

                         space space space space space space space space space angle A equals 1 x degree comma space angle B equals 2 x degree
space space space space space space space space angle C equals 3 x degree comma space angle D equals 4 x degree

Since,              space space space space space space space space space space space space space space angle A plus angle B plus angle C plus angle D equals 360 degree

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rightwards double arrow                             x = fraction numerator 360 degree over denominator 10 end fraction equals 36 degree

 

Angles are:
                                space space space space space angle A equals x degree equals 36 degree
space space space space space angle B equals 2 x degree equals 2 cross times 36 degree equals 72 degree
space space space space space angle C equals 3 x degree equals 3 cross times 36 degree equals 108 degree
space space space space space space angle D equals 4 x degree equals 4 cross times 36 degree equals 144 degree

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124.

In a parallelogram ABCD, space space angle straight D equals 65 degreespace space angle straight D equals 65 degree, Detemine the measur of space space space space angle straight A space and space angle straight B.

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125.

The measures of two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure of each of the angles of the parallelogram.

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 Multiple Choice QuestionsOne Word Answers

126.

If an exterior angle of a regular polygon is 45°. then find the number of its sides.

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 Multiple Choice QuestionsShort Answer Type

127.

If an interior angle of a regular polygon is 162°, then find the number of its sides.

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128.

Find x in the following figure.

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129.

Find the measure of an interior angle of a regular polygon having 15 side

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130.

Find the measure of each of the

(i) exterior angle,

(ii) interior angle of an octagon.

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