Question

Please help me find x and y value?

Answer 1

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