Question

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

Answer 1

• 117°

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°