In each pair of triangles below, find all pairs of matching angles and write them down.

To find all pairs of matching angles, we always look for the corresponding sides or similar sides in the two triangles and the angles between any two of the corresponding sides in the two figures are matching angles.

In the triangles given above, we first find the corresponding sides or similar sides.

AC = RQ = 4 cm

CB = PQ = 5 cm

AB = PR = 6 cm

To find pairs of matching angles, the angles between any two of the corresponding sides in the two triangles are matching angles.

a) Angle between AC(4 cm) and AB(6 cm), ∠CAB = Angle between RQ(4 cm) and PR(6 cm) , ∠PRQ.

b) Angle between AC(4 cm) and CB(5 cm), ∠ACB = Angle between RQ(4 cm) and PQ(5 cm) , ∠RQP.

c) Angle between CB(5 cm) and AB(6 cm), ∠CBA = Angle between PQ(5 cm) and PR(6 cm) , ∠QPR.