## 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 