Question

Find the value of x,y,zin the given figure:
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Answer 1

Answer: x= 125° , y = 55° & z = 125°

Step-by-step explanation:

Using the Angle Properties

We know that vertical opposite angles are identical. That is from figure, x=z and 55=y

Hence, we obtain the value of y directly.

Y = 55 (because opposite angles are same)

Now on any straight line the summation of angles are = 180°

Straight line has an angle = 180°

From figure,

55° + z = 180°

z = 180-55

z = 125°

Since z = x ,

Therefore x = 125°

Final answers: x=125° , y = 55° & z = 125°