Question

Four of the angles of a pantagon are 98°,105°,73°,110° find the fifth angle

Answer 1

Step-by-step explanation:

98° +105°+ 73°+ 110° + a =540°

a= 540°- 386°

=154°

Answer 2

Fifth Angle of given Pentagon is 154°

Step-by-step explanation:

First Angle = 98°

Second Angle = 105°

Third Angle = 73°

Fourth Angle = 110°

Sum of all interior Angles of any Polygon = (n - 2) * 180 (Where n is no. of sides)

Now as pentagon has 5 Sides

So,

Sum of all interior Angles of Pentagon = (5 - 2) * 180

= (5 - 2) * 180

= 3 * 180

= 540°

Sum of all interior Angles of Pentagon = First Angle + Second Angle + Third Angle + Fourth Angle + Fifth Angle

540° = 98° + 105° + 73° + 110° + Fifth Angle

540° = 386 + Fifth Angle

Fifth Angle = 154°