Question

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Answer 1

Answer:

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Step-by-step explanation:

8) the sum of all interior angle of pentagon is 540

x+x+10+x+15+x+20+x+25=540

5x+70=540

5x=540-70

5x=470

x=470/5

x=94

x=94

x+10=94+10=104

x+15=94+15=109

x+20=94+20=114

x+25=94+25=119

verification

x+x+10+x+15+x+20+x+25=540

94+104+109+114+119=540

540=540

9) sum of interior angles = 14 right angles= 14*90=1260

As we know

Sum of interior angles of any polygon = (2n - 4)*90

=> (2n - 4)*90= 16*90 (given)

=> 2n-4 =14

=> 2n= 14+4

=>2n=18

=>n = 18/2

=> n = 9

Hence, n= 9

Total  number of sides in a polygon =9