ThomasO143
ThomasO143 ThomasO143
  • 15-09-2020
  • Mathematics
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How do you do question 22

How do you do question 22 class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 15-09-2020

Answer:

  ∠YXZ = 58°

Step-by-step explanation:

Use the angle sum theorem and the given relations.

  ∠WXY +∠WXV = ∠YXV

  ∠WXY +(11° +3∠WXY) = 139°

  4∠WXY = 128° . . . . . subtract 11°

  ∠WXY = 32° . . . . . . . divide by 4

Similarly, ...

  ∠WXY +∠YXZ = 90°

  ∠YXZ = 90° -∠WXY = 90° -32°

  ∠YXZ = 58°

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