Answer:
1. 40°, 25°
Explanation:
The sum of opposite angles of a quadrilateral inscribed in a circle is 180°.
2x + 4 + 4y - 4 = 180
x+ 10 + 5y + 5 = 180
2x + 4y = 180
x +5y + 15 = 180
x + 2y = 90
x + 5y = 165
x = 90 - 2y
x = 165 - 5y
90 - 2y = 165 - 5y
5y - 2y = 165 - 90
3y = 75
y = 25
x = 90- 2y = 90 - 2*25 = 40
x= 40, y = 25