Question
In the figure, 3 lines intersect at point P. If x = 65 and y = 75, what is the value of z?
- 140
- 80
- 40
- 20
The correct answer is: 40
Hint:
Sum of angles on a straight line = 180°.
When two lines intersect each other, 2 pairs of opposite angles are formed called Vertically opposite angles.
Vertically Opposite angles are always equal.
Step-by-step solution:-
Let the given lines be AD, BG & CF
Now, we know that sum of angles formed on a straight line is 180°
∴ for line AD, (on left hand side) we can say that-
Now, we know that 
& 
are vertically opposite angles formed due to the intersection of lines BG & FC.
∴ 
----------------- (vertically opposite angles)
∴ 40° = -------------------- (From Equation i)
i.e. z = 40°
Final Answer:
Option C i.e. 40 is the correct Option.
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for all positive values of x, what is the value of 
?
