what is the value of x and y?

The right answer is x = 8, y = 40.

Step-by-step explanation:

Since this triangle is isosceles we know that...

∠ACB = ∠ABC

40° = (5x)°

40 = 5x

x = 40 / 5

x = 8

We also know that the sum of all angles inside the triangle is equal to 180°, therefore...

∠BAC = 180° - ∠ACB - ∠ABC

(2y + 20)° = 180° - 40° - 40°

2y + 20 = 100

2y = 100 - 20

2y = 80

y = 80 / 2

y = 40

From this, we know that the right answer is x = 8, y = 40.