Answer:
a = 14 ; b = 10
Step-by-step explanation:
ΔJKL ≅ ΔXYZ
The order of letters in triangle's "names" is important, it indicates the corresponding angles and sides.
∠J ≅ ∠X, ∠K ≅ ∠Y, ∠L ≅ ∠Z
segment JK ≅ segment XY,
segment KL ≅ segment YZ,
segment JL ≅ segment XZ
m∠Z = m∠L = 180° - (60° + 55°) = 65°
(4a + 9)° = 65°
4a = 65 - 9 ⇒ a = 14
XY = JK = 24 units
3b - 6 = 24 ⇒ b = 10
