Part of a train timetable is shown. a)
Bob catches the 12 30 train from
Aberystwyth. He arrives in

Shrewsbury 8 minutes late.
What time does he arrive in
Shrewsbury? 14:27
Shrewsbury

b) How long is Bob's journey from

Aberystwyth to Shrewsbury?
Give your answer in minutes.
c) Judy catches the 12 30 train from Aberystwyth.
minutes
She arrives in Shrewsbury on time.
She attends a job interview.
She gets back to Shrewsbury station 1 hour and 50 minutes later.
Is she back in time to catch the 16 05 train to Birmingham?
You must show your working.
15 30

answer is x<

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.