What is a regular polygon of 7 sides called?

5

(a)

As before, consider quadrilateral ABCD in adjoining figure. Let P be any point in its interior. Join P to vertices A, B, C and D. In the given figure, consider ΔPAB. From this, we see x= 180°- mㄥ2 - mㄥ3; similarly from ΔPBC, y = 180⁰- mㄥ4 - mㄥ5; from ΔPCD, z = 180° - mㄥ6 - mㄥ7 and from ΔPDA, w= 180°- mㄥB - mㄥ1. Use this to find the total measure mㄥ1 + mㄥ2 + ... + mㄥ8. Does it help you to arrive at the result?

5

(a)

Consider the following parallelograms. Find the values of the unknowns x, y and z.

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(a)

The ratio between exterior angle and interior angle of a regular polygon is 1 : 3. Find the number of sides of the polygon. Also, find each of the interior and exterior angles.

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(a)

ABCDE is a regular pentagon. The bisector of angle A meets the side CD at M. Find ㄥAMC.

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(a)

PQRS is a rhombus such that perpendicular bisector of PQ passes through the point S. Find the angles of rhombus.

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(a)

If two adjacent angles of a parallelogram are in the ratio 3: 7, then find the measure of all the angles of the parallelogram.

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(a)

The diagonals of a rhombus are 8 cm and 15 cm. Find its side.

5

(a)

A rangoli has been drawn on the floor of a school's main gate. Participatent of Class VllI th girls for making rangoli, all bring different types of color from market to colour the rangoli (as shown below), where, ABCD and PORS both are in the shape of a rhombus. Find the radius of semi circle drawn on each side of rhombus ABCD. What type of value depict here?

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(a)

The ratio of exterior angle to interior angle of a regular polygon is 1: 5. Find the number of sides of the polygon.

5

(a)