Answer:
∠CAT = 140°
Step-by-step explanation:
Since AB bisects ∠CAT then ∠BAT = ∠CAB, hence
5x + 20 = 2x + 50 ( subtract 2x from both sides )
3x + 20 = 50 ( subtract 20 from both sides )
3x = 30 ( divide both sides by 3 )
x = 10
∠CAT = ∠BAT + ∠CAB = 5x + 20 + 2x + 50 = 7x + 70
substitute x = 10 into the expression
∠CAT = (7 × 10) + 70 = 70 + 70 = 140°
