Question

2.

Triangles ABC and PQR are similar.
(a) Work out angle Q.
(b)Work out the length PQ.

Answer 1

2. a)

As per the Angle sum property

∠P + ∠Q + ∠R = 180°

22° + ∠Q + 54° = 180°

∠Q = 180° - 76°

∠Q = 104°

b)

Now as per the question,

ΔABC ≅ ΔPQR

Which implies that

AB = PQ

So,

PQ = 8 cm

Explanation: