EASY
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Based on the pattern, how many degrees do you think the angles in a decagon would add up to?

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Important Questions on Geometrical Concepts

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A unique circle can always be drawn through x number of the given non-collinear points, then x must be:
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Two parallel chords on the same side of the centre of a circle are 12 cm and 20 cm long and the radius of the circle is 513 cm. What is the distance (in cm) between the chords?
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ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ADC = 140°. Then BAC is equal to_____.
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The ratio between a base angle and a vertical angle of an isosceles triangle (base angles being equal) is 2:5. The vertical angle is _____.
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In ABCAB and AC are produced to points D and E, respectively. If the bisectors of CBD and BCE meet at the point O, and BOC=57°, then A is equal to _____.
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Question Image

In the triangle given above, ADB=90o, ABC=45o, AD=10 cm, AC=20 cm. The length of BC is:

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Side AB of a triangle ABC is 80 cm long, whose perimeter is 170 cm. If angle ABC=60°, the shortest side of triangle ABC measures (in cm):
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PA and PB are tangents to a circle with centre O, from a point P outside the circle. A and B are points on the circle. If OAB=20°, then APB is equal to:
MEDIUM

In PQR, Q>R, PS is the bisector of P, and PTQR. If SPT=28° and R=23°, then the measure of Q is:

HARD
The bisector of A in ABC meets BC in D. If AB=15 cm, AC=13 cm and BC=14 cm, then DC=?
MEDIUM
A circle touches the side BC of ABC at D and AB and AC are produced and the circle is touching it at E and F, respectively.If AB=10 cm, AC=8.6 cm and BC=6.4 cm, then BE=?
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 The exterior angle of a regular polygon is 72°. What would be the sum of all its interior angles?
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In a circle with centre O, ABCD is a cyclic quadrilateral and AC is the diameter. Chords AB and CD ae produced to meet at E.If CAE=34° and E=30°, then CBD is equal to:
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The perimeter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square.
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If in PQR, P=124°, PSQR at S and PQ+QS=SR, then the measure of Q is:
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ABCD is a cyclic quadrilateral such that AB is the diameter of the circle circumscribing it and ADC=155°, then what is the measure of BAC ?
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PA and PB are two tangents to a circle with centre O, from a point P outside the circle. A and B are points on the circle. IfAPB=100° , then OAB is equal to_____.
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ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and angle ADC=144°. Then angle BAC is equal to: π=227
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The sides PQ and PR of PQR are produced to points S and T, respectively. The bisectors of SQR and TRQ meet at U. If QUR=59°, then the measure of P is _____.
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If the interior angle of a regularpolygon is 108°, then it is a-

1. Octagon

2. Hexagon

3. Pentagon

4. Tetragon