hdkdlslsl
hdkdlslsl hdkdlslsl
  • 11-01-2022
  • Mathematics
contestada

the bearing of Y from X is 63
the bearing of Z from Y is 180
XY=XZ
work out the bearing of z from x

the bearing of Y from X is 63 the bearing of Z from Y is 180 XYXZ work out the bearing of z from x class=

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mhanifa
mhanifa mhanifa
  • 11-01-2022

Answer:

  • 117°

Step-by-step explanation:

As per diagram:

  • ∠NXY ≅ ∠XYZ as alternate interior angles since XN and YN are parallel and XY is transversal
  • m∠XYZ = m∠XZY = 63° since ΔXYZ is isosceles

Find the measure of ∠YXZ:

  • m∠YXZ = 180° - 2*63° = 54°

Find the bearing of Z from X:

  • m∠NXZ = m∠NXY + m∠YXZ = 63° + 54° = 117°
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