AI generatedGeometry and measuresKS3 / GCSE

Bearings using parallel-line angle facts

Bearings using parallel-line angle facts.

  • Start at north at the point you are travelling from.
  • Measure clockwise and write three figures, such as 065°.
  • Reverse bearings differ by 180°; keep the result between 000° and 359°.

Example 1

North lines at A and are parallel. The bearing of B from A is 035°. Find the reverse bearing and give a reason.

Bearing measured clockwise from northNAB35°N
Reverse bearingUse corresponding/alternate angles and a straight angle.
215°. The parallel north lines give equal corresponding angles; reversing the route changes the direction by 180°.

Example 2

North lines at A and are parallel. The bearing of B from A is 040°. Find the reverse bearing and give a reason.

Bearing measured clockwise from northNAB40°N
Reverse bearingUse corresponding/alternate angles and a straight angle.
220°. The parallel north lines give equal corresponding angles; reversing the route changes the direction by 180°.

Your turn

Question 1

North lines at A and are parallel. The bearing of B from A is 045°. Find the reverse bearing and give a reason.

Bearing measured clockwise from northNAB45°N
Check answer
Reverse bearingUse corresponding/alternate angles and a straight angle.
225°. The parallel north lines give equal corresponding angles; reversing the route changes the direction by 180°.
Question 2

North lines at A and are parallel. The bearing of B from A is 050°. Find the reverse bearing and give a reason.

Bearing measured clockwise from northNAB50°N
Check answer
Reverse bearingUse corresponding/alternate angles and a straight angle.
230°. The parallel north lines give equal corresponding angles; reversing the route changes the direction by 180°.
Question 3

North lines at A and are parallel. The bearing of B from A is 055°. Find the reverse bearing and give a reason.

Bearing measured clockwise from northNAB55°N
Check answer
Reverse bearingUse corresponding/alternate angles and a straight angle.
235°. The parallel north lines give equal corresponding angles; reversing the route changes the direction by 180°.
Question 4

North lines at A and are parallel. The bearing of B from A is 060°. Find the reverse bearing and give a reason.

Bearing measured clockwise from northNAB60°N
Check answer
Reverse bearingUse corresponding/alternate angles and a straight angle.
240°. The parallel north lines give equal corresponding angles; reversing the route changes the direction by 180°.
Question 5

North lines at A and are parallel. The bearing of B from A is 065°. Find the reverse bearing and give a reason.

Bearing measured clockwise from northNAB65°N
Check answer
Reverse bearingUse corresponding/alternate angles and a straight angle.
245°. The parallel north lines give equal corresponding angles; reversing the route changes the direction by 180°.
← All Geometry and measures cardsReport a mistake