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ATQ
b=180/6
=30
as a+b=180°
=a+ 30=180
a=180-30
=150
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5
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Solution;
It is given that, a is greater than b by one-sixth of a straight angle.
=> a = b + (1/6) of Straight angle
=> a = b + (1/6)•180°
=> a = b + 180°/6
=> a = b + 30° ----------(1)
Also, angles a and b lies on the same straight lines, hence angles a and b forms linear pair.
=> a + b = 180°------(2)
Now, putting the value a = b + 30° in eq-(2) , we get;
=> a + b = 180°
=> b + 30°+ b = 180°
=> 2b = 180° - 30°
=> 2b = 150°
=> b = 150°/2
=> b = 75°
Now, putting the value b = 75° in eq-(1)
we get;
=> a = b + 30°
=> a = 75° + 30°
=> a = 105°
Hence, the required values are:
a = 105°
b = 75°
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