Question

1) Sum of two consecutive natural numbers is 11. Which are the numbers? 2) The sum of all angles of a polygon is 1080° a) What is the sum of angles of a polygon with one side less? b) What is a sum of angles of a polygon with one side more? 3) The length of a rectangle is 4 cm more than its breadth. If the perimeter is 84 cm a) Length + Breadth = --------- b) Find the length and breadth of the rectangle 4) a) How many diagonals can be drawn from a vertex of a 20 sided polygon? b) How many triangles can be made using these diagonals? c) What is the sum of all the angles of this polygon? 5) a) What is the sum of the interior and outer angles at a vertex of a polygon? b) If the outer angle is 200 more than thrice the inner angle, what is the measure of inner angle 6) In a triangle the largest angle is 20° more than the smallest angle. The third angle is 10°more than the smallest angle. a) What is a sum of all angles in the triangle? b) Find the measure of the smallest angle. c) Find the measure of other two angles.​

Answer 1

Answer:

1. 5 and 6

Step-by-step explanation:

11/2=5.5

5.5+0.5=6

5.5-0.5=5

Answer 2

Answer:

1.5 and 6

Step-by-step explanation:

x+x+1

2x+1=11

2x=11-1

2x=10

x=10÷2=5

So number are 5,6.