Question

find x y z in the given figure ​

Answer 1

Answer:

x=55

clearly, 55+y=180

y=180 - 55

y=125

z=y

z=125

x=55, y=125

z = 125.

Answer 2

Step-by-step explanation:

• Given: The corresponding image for the figure.

• To Find: Angles x, y and z.

• We know, the angles on a line, always add up to $180^\circ$. This is called Linear Pair. Here, Linear pair is formed between $\angle y$ and $55^\circ$:

       $\angle y+55^\circ=180^\circ$

       $\angle y=180^\circ-55^\circ$

       $\angle y=125^\circ$

• The Vertically opposite angles are a pair of non-adjacent angles formed when two lines intersect which are always equal. Here, the pair of vertically opposite angles are:

       $\angle 55^\circ = \angle x$

       $\angle y=\angle z$

       $125^\circ=\angle z$

Hence, $\angle x=55^\circ,\angle y=125^\circ and \angle z=125^\circ$.