Question

plz do it fast. i neef it urgent

Answer 1

Heya Dear !
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13)

As you know complete angle forms 360°

so, 2x + 90 + x = 180 {LPA}
      3x + 90       = 180 
      3(x+30 )      = 180 
         x + 30      =  60 
         x              = 30 °
As ∠DOE = 90 ° 
and ∠DOE + ∠EOC = 180 {LPA}
       so, ∠EOC = 90° 
∠EOC = x + y 
90       = 30 + y 
y         = 90 - 30 = 60°

and y + z = 180 {LPA}
60 + z = 180 
z = 180 - 60 = 120 °

14) . 

in the given figure 
∠COE = ∠DOF = 6x {VOA}
∠AOE = BOE = 8 x {VOA}
and 
8x + 6x + 4x = 180 {LPA's } 
18 x              = 180 
x                   = 10 

so, 8x + 6x + y = 180 {LPAs} 
      14x + y       = 180 
       140 + y      = 180 
                 y      = 180 -140 = 40 °

15) .

if x + y = 180 then it forms a straight line lets check 

I)  x = 63 , y = 117 
yes , it forms a straight line as 63 + 117 = 180 

ii) x = 58 , y = 132 
No , It does not form any straight line because its angle ≠ 180 => 58 + 132 = 190 

iii)  x = 4/5 right angles , y =  98 
      x = 4/5 x 90 , y = 98 
      x = 72 , y = 98 
no it doesn't form straight line because x + y ≠ 180 ,