## FRANK Solutions for Class 9 Maths Chapter 18 - Rectilinear Figures

## Chapter 18 - Rectilinear Figures Exercise Ex. 18.1

Question 1

Is
it possible to have a polygon whose sum of interior angles is 780°?

Solution 1

Question 2

Is
it possible to have a polygon whose sum of interior angles is 7 right angles?

Solution 2

Question 3

Is
it possible to have a polygon whose each interior angle is 124°?

Solution 3

Question 4

Is
it possible to have a polygon whose each interior angle is 105°?

Solution 4

Question 5

A
heptagon has three angles equal to 120°, and the other four angles are equal.
Find all the angles.

Solution 5

Question 6

Solution 6

Question 7

In
a polygon, there are 3 right angles and the remaining angles are equal to
165°. Find the number of sides in the polygon.

Solution 7

Question 8

ABCDE
is a pentagon in which AB is parallel to DC and Find angle A.

Solution 8

Question 9

If
the difference between an exterior angle of a regular polygon of 'n' sides
and an exterior angle of another regular polygon of '(n + 1)' sides is equal
to 4

^{o}; find the value of 'n'.
Solution 9

Question 10

The
number of sides of two regular polygons are in the ratio 2
: 3 and their interior angles are in the ratio 9 : 10. Find the number
of sides of each polygon.

Solution 10

Question 11

Solution 11

Question 12

Solution 12

Question 13

In
a regular pentagon PQRST, PR = QT intersect at N. Find the angle RQT and QNP.

Solution 13

Question 14

Each
exterior angle of a regular polygon is times of its interior angle. Find the number of sides in
the polygon.

Solution 14

Question 15

Each
interior angle of a regular polygon is 162°. Another regular polygon has
number of sides double the first polygon. Find each interior angle of the
second polygon.

Solution 15

Question 16

Solution 16

Question 17

Solution 17

Question 18

Solution 18

Question 19

Solution 19

Question 20

Solution 20

Question 21

Solution 21

Question 22

Solution 22

Question 23

Solution 23

Question 24

Solution 24

Question 25

Solution 25

Question 26

Solution 26

Question 27

Solution 27

Question 28

Solution 28

Question 29

Solution 29

Question 30

Solution 30

Question 31

Solution 31

Question 32

Solution 32

Question 33

Solution 33

Question 34

Solution 34

Question 35

Solution 35

Question 36

Solution 36

Question 37

Solution 37

Question 38

Solution 38

Question 39

Solution 39

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