In the diagram, point A is north of point B and ∠ABC=135∘\angle\text{ABC} = 135^\circ.
In what direction is point C from point B?

Work through it with AI →

It won't just hand you the answer — it asks where you're stuck.How the checker works

Worked solution

8

1. Identify the bearing of A from B

Since point A is north of point B, the line segment BA points directly North (0∘0^\circ).

2. Determine the direction of C from B using the given angle

The angle ∠ABC=135∘\angle\text{ABC} = 135^\circ. Since C is to the bottom-left of B, the angle is measured anti-clockwise from North (or clockwise if we consider the full 360∘360^\circ, but visually it's 135∘135^\circ towards the West side of South). South is 180∘180^\circ from North. West is 90∘90^\circ anti-clockwise from North. South-West is exactly 135∘135^\circ anti-clockwise from North (180∘−45∘=135∘180^\circ - 45^\circ = 135^\circ). Therefore, C is South-West of B.

Answer

South-West (option 4)

AI analysis — may contain mistakes.

Worked this one out on paper? Snap your steps and Gigle's AI math checker will circle the step where it went wrong.

More questions on this topic

  1. 1In the figure, WXYZ is a trapezium and AXYB is a rhombus. XBC and XAZ are straight lines. WX // ZY, BC = BY, ∠XAB=82∘\angle XAB = 82^\circ…
  2. 2In the figure below, ABCD is a trapezium. AF and EC are straight lines. Peishan wrote four statements to describe the fi…
  3. 3In the figure below, ABGF and BCDG are rhombuses. ∠ABF=31∘\angle ABF = 31^\circ, ∠CBG=40∘\angle CBG = 40^\circ and EF is parallel to…
  4. 4In the figure, PQ = PS and SRP is a straight line. Find ∠RQS\angle\text{RQS}. Ans: ___ ∘^\circ
  5. 53.76°= 度 分 秒.