Question

Find the measure of x, y and z from the figure.​

Answer 1

Answer:

∠y = 160° (Vertically Opposite Angles)

∠x + 160° = 180° (Linear Pair)

∠x = 180° - 160° = 20°

∠x = ∠z (Vertically Opposite Angles)

∠x = ∠z = 20°

Therefore,

∠x = 20°

∠y = 160°

∠z = 20°

Answer 2

Answer:

The angles $x=z=20$°, $y=160$°.

Step-by-step explanation:

We can find the answer in two ways:

(i) the angles $x$ and $z$ are opposite angles and hence they are same.

   also the angles $y$ and $160$° are opposite angles ,hence they are same.

   That is ∠$y=160$°.

   And the angles $x$ and $y$ are on a straight line , therefore their sum is $180$°.

   since $y=160$°  , ∠$x=180-160=20$°. and hence ∠$z=20$°.

(ii)  Or otherwise consider two straight lines then the sum of angles of each line is $180$°.

∠$160$°  and  $x$  are on a same line ,therefore ∠$x=20$°.

$x$ and $y$ are on same line, therefore $y=180-20=160$°.

Finally  $y$  and  $z$  are on same line ,therefore

$z=180-160=20$°

Hence the answer

thank you