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

100 POINTS Find The Values Of X Y And Z class=

Answer :

  • 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°
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Answer:

∡x = 20°

∡y = 160°

∠z = 160°

Step-by-step 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°

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