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As shown in the figure the angles x - 22 and 135 lie on a straight line . So we may solve it using linear pair property that states that the sum of angles lying on a straight line is 180° .
( x - 22 ) + 135 = 180°
Remove the brackets
x - 22 + 135 = 180
Subtract 22 from 135 and as 135 is is greater than 22 the sign will be positive
x + 113 = 180
Subtract 113 from both the sides
x = 180 - 113
x = 67°
Thus the correct answer is option d that is x = 67
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