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In the figure above, the angles a,b,c,d and e are consecutive integers in degrees, a=__________A. `70^(@)`B. `74^(@)`C. Either (a) or (b)D. Neither (a) nor (b) |
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Answer» Correct Answer - C `a^(@),b^(@),c^(@),d^(@), and e^(@)` can be in ascending order or in descending order. `:. B=a+1, c=a+2,d=a+3, and e=a+4 ro b=a-1, c=a-2, d=a-3, and e=a-4` `:. a+b+c+d+e+=5a+10 or 5a-10` Sum of the angles around a point is `360^(@)`. `:. a^(@)+b^(@)+c^(@)+d^(@)+e^(@)=360^(@)` `:. (5a+10)^(@)=360^(@) or (5a-10)^(@)=360^(@)` `:. a^(@)=70^(@) or 74^(@)` Hence, the correct option is ( c). |
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