Question

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

Answer 1

Answer:

x = 55 degrees, y = 125 degrees, z = 125 degrees

Step-by-step explanation:

55 degrees and y form a linear pair

Therefore 55 + y degrees = 180 degrees

y = 180 - 55 degrees

= 125 degrees

55 degrees and x are vertically opposite angles making x = 55 degrees

Similarly y and z are vertically opposite angles making z = y = 125 degrees

55 + 125 + 55 + 125 = 360 degrees making a complete angle (Verification)

Answer 2

Answer:

Step-by-step explanation:

The value of Y is

55°+Y=180° (because it is a straight line)

Y=180°-55°

Y=135°

The value of x is

135°+x=180°

x=180°-135°

x=50°

The value of z is

50°+z=180°

z=180°-50°

z=135°