Find the value of x, y and z in the given figure.
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2
Answer:
if the lines are parallel then the answer is
z = 125°
x = 55°
y = 125°
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Answered by
1
Answer:
X= 55° ; Y= 125°; Z= 125°
Step-by-step explanation:
give angle is 55° which is vertically opposite to X
as we know that vertically opposite angles must be equal
hence, X= 55°
and in other hand, sum of angles in a circle or a cycle is 360°
so, 55°+X+Y+Z= 360°
we know that X= 55°
55°+55°+Y+Z= 360°
110°+Y+Z=360°
Y+Z = 360°-110°
Y+Z = 250°
Here, Y and Z are vertically opposite angles so they should equal
let, Y=Z= a( consider)
so from above
Y+Z= 250°
a+a= 250°
2a= 250°
a= 250°/2
a= 125°
therefore , Y=Z=a= 125°
X= 55° ; Y= 125°; Z= 125°
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