please tell step by step
Answers
Answer:
8. each exterior angle = 360/15 = 24°
each interior angle = 180-24 = 156°
Answer:
8. exterior angle = 24 degrees
Each interior angle = 156 degree
9. length = 4.33cm
breadth = 1.33cm
Step-by-step explanation:
8. No.of sides of regular polygon = 15 sides.
Exterior angle of a polygon = 360 ÷ number of sides.
= 360/15
=24 degrees.
Sum of Interior angle of a polygon = (2n-4)*right angles
= (30-4)*90
= 26*90
= 2340 degree
Each interior angle = 2340/15
= 156 degree
9. let breadth of rectangle = x cm
so, length = x+3 cm
Area = x*(x+3)
length is increased by 2 cm = (x+3)+2 cm
breadth is decreased by 1 cm = x-1 cm
ATP:-
(x+3)+2 cm*x-1 cm = x*(x+3)
or, x+5*x-1 = x^2 + 3
or, x^2-x+5x-5 = x^2 + 3
or, x^2-x^2x+5x = 3+5
or, 6x = 8
or, x = 8/6 = 1.33cm
x+3 = 4.33cm