Respuesta :

Answer:

12. 50 degrres

13. 90 degrees

14. 40 degrees

15. 50 degrees

16. 130 degrees

17. 90 degrees

Step-by-step explanation:

12. Angle UAY is equal to 50 degrees as it is stated in the graph

13. Angle YAZ is 90 degrees, as there is a square at the angle, meaning that the angle is a right angle.

14. Angle ZAX + Angle UAY + Angle YAZ = 180, as it is supplementary.

We know Angle UAY and Angle YAZ, so we can find Angle ZAX

Angle ZAX = 180 - UAY - YAZ = 180 - 50 - 90 = 40 degrees

15. Angle XAW = 50 degrees, as it is vertical angles with Angle UAY.

16. Angle WAU = Angle YAX = Angle YAZ + Angle ZAX = 90 + 40 = 130 degrees

17. Angle ZAW and Angle YAZ are supplementary, so they add up to 180 degrees.

Angle YAZ = 90 degrees, so Angle ZAW must also equal 90 degrees.

Answer & Explanation:

9. 50° (given)

10. 90° (90° angle is shown)

11. 40° (the line WAZ must equal 180° so 90° + 50° = 140 -> 180° - 140° = 40°)

12. 50° (same explanation as #11)

13. 130° (if the line WAZ must be 180°, then 180°- 50° = 130°)

14. 90° (right angle)

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