Q19 of 24 Page 16

Find the numbers of degrees in each exterior angle of a regular pentagon.

The sum of exterior angles of a polygon is 360°


Measure of each exterior angle of a polygon is = where n is the number of sides


Number of sides in a pentagon is 5


Measure of each exterior angle of a pentagon is =


Measure of each exterior angle of a pentagon is


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17

In a quadrilateral ABCD, CO and DO are the bisectors of ∠C and ∠D respectively. Prove that ∠COD = (∠A +∠B).

 18

Find the number of sides of a regular polygon, when each of its angles has a measure of

(i) 160°


(ii) 135°


(iii) 175°


(iv) 162°


(v) 150°

 20

The measure of angles of a hexagon are x°, (x-5)°, (x-5)°, (2x-5)°, (2x-5)°, (2x+20)°. Find value of x.

 21

In a convex hexagon, prove that the sum of all interior angle is equal to twice the sum of its exterior angles formed by producing the sides in the same order.