Answer:
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.
