Question

I am really struggling with this

Answer 1

92° and 14 cm

9

Since the triangles are congruent then corresponding angles and corresponding sides are equal

∠B = ∠Q, hence

6x - 16 = 5x + 2 ( subtract 5x from both sides )

x - 16 = 2 ( add 16 to both sides )

x = 18, hence

∠B = (5 × 18 ) + 2 = 90 + 2 = 92°

10

Similarly PR = AC

9x - 4 = 6x + 2 ( subtract 6x from both sides )

3x - 4 = 2 ( add 2 to both sides and divide by 3 )

3x = 6 ⇒ x = 2

PR = (9 × 2 ) - 4 = 18 - 4 = 14 cm