## 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 4o; 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