in the figure,l paralle m and t is a transversal.Find the value of angle marked x ,y and z.
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7
Answer:
X=60°
z=60°
y=120°
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Answered by
6
Given:
l is parallel to m
To find:
The values of x, y, z
Solution:
The angles x, y, z are equal to 60°, 120°, and 60°, respectively.
We are given that the line t cuts m and l.
So, the angles formed between them must be equal.
Since t is a straight line, x +120°= 180°.
x+120°=180°
x=180°-120°
x=60°
Now, angle y and 120° are alternate and interior and so are equal.
Angle y=120°
Again, y+ z is equal to 180° since m is straight.
So, y+z=180°
Using y=120°,
120°+z=180°
z=60°
Therefore, x, y, z measure 60°, 120°, and 60°, respectively.
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