Question

[100 POINTS] Find the values of x, y, and z.

Answer 1

• z+20=180(linear pair
• z=180-20
• z=160°

x 's measure is already given

x=20°

• y=x+z
• y=160+20
• y=180°

Answer 2

∡x = 20°

∡y = 160°

∠z = 160°

Explanation:

Angles on a straight line sum to 180°

⇒ ∠z + 20° = 180°

⇒ ∠z = 180° - 20°

⇒ ∠z = 160°

The central angle measure equals the corresponding arc measure.

⇒ ∡x = 20°

⇒ ∡y = ∠z = 160°