In each pair of triangles below, find the pairs of matching angles and write then down.

(i)

(ii)

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.

(i)

We can see that ∠CAB = ∠PQR = 40⁰ as shown in the figure.

Angle between AC (7 cm) and CB, ∠ACB = Angle between PQ(7 cm) and PR , ∠QPR.

Angle between AB (3 cm) and CB, ∠ABC = Angle between RQ(3 cm) and PR , ∠PRQ.

(ii)

We can see that ∠NLM = ∠XZY = 50⁰ as shown in the figure.

Angle between LN (4 cm) and NM, ∠LNM = Angle between XZ (4 cm) and XY, ∠ZXY

Angle between LM (6 cm) and NM, ∠ LMN = Angle between YZ(6 cm)and XY , ∠ZYX