find the value of x and y
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answer is 13
as we can find y by vertically opposite angles and then put the angle sum property
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See there is a figure that show weather it is triangle or parallelogram , and the line which strike it is a translucent.
Now, the upper exterior angle is given = 118° ; So , we find out the adjacent angle of it = 180° - 118° = 62 ° ( Linear pair )
Then, we find the x.
As we now that, the opposite angle of parallelogram is equal ( 62 ° = 62° )
and the alternate interior angle of the parallelogram is also same.
So, x + 22° = 62°
x = 62° - 22°
x = 40°
Now , we have to find y.
We also know that opposite Angles of parallelogram is equal ( 118° = 118°)
So, we consider that the angle between 62 degree and y be y.
So, y + y = 118°
2y = 118°
y = 118° / 2
y = 59 °
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