Question

Find the value of the angles x, y, and z in each of the following:

Answer 1

Here, 55° & x are the opposite angles

hence, X = 55°

x & y are the angles in linear pair

x + y = 180°

y = 180°-x

y = 180°- 55

y = 125°

now, Y and Z are opposite angles,

z = 125°

Answer 2

Step-by-step explanation:

Since ∠x and ∠55° are vertically opposite angles,

∠x = 55°

∠x + ∠y = 180° (Linear pair)

55° + ∠y = 180°

∠y = 180º − 55º = 125°

∠y = ∠z (Vertically opposite angles)

∠z = 125°

Hope it helps