Answer:
x = 24
y = 19
Step-by-step explanation:
From the picture attached,
m(∠CAB) = (5y - 23)° [Vertically opposite angles]
By applying triangle sum theorem in ΔABC,
(5y - 23)° + (2x + 13)° + 47° = 180°
2x + 5y = 143 -----(1)
(3x)° = (5y - 23)° [Corresponding angles]
3x - 5y = -23 -----(2)
By adding equation (1) and (2)
(2x + 5y) + (3x - 5y) = 143 - 23
5x = 120
x = 24
From equation (2)
3(24) - 5y = -23
72 - 5y = -23
5y = 95
y = 19
