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360 degrees
Step by step explaination:
To find x + y + z, first of all we need to find the exact values of them.
Now, angle x = 180 - 90 (by applying linear pair )
=> x = 90 degrees
angle z = 180 - 30(by applying linear pair)
=> z = 150 degrees
To find value of y, we need the value of the adjacent angle of y
=> adjacent angle of y (let's say it a) = 180 - (90 + 30) [by applying angle sum property ]
Therefore, a = 60 degrees
Now, again applying linear pair,
y = 180 - 60
=> y = 120 degrees
So, x + y + z = 90 + 120 + 150
= 360 degrees
I hope it'll help you...
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I hope it helps you
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