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ololo11 [35]
3 years ago
5

The bearing of Y from X is 63

Mathematics
1 answer:
zimovet [89]3 years ago
8 0

Answer:

  • 117°

Step-by-step explanation:

<u>As per diagram:</u>

  • ∠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

<u>Find the measure of ∠YXZ:</u>

  • m∠YXZ = 180° - 2*63° = 54°

<u>Find the bearing of Z from X:</u>

  • m∠NXZ = m∠NXY + m∠YXZ = 63° + 54° = 117°
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From the property of angles of secant and tangent lines, we have:

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