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
