Answer:
1) y° = 58°, x° = 85°
2) y° = 42°, x = 15°
Step-by-step explanation:
1) To find y° look at the right triangle with the other angle at 32°
32° + 90° + y° = 180°
y° = 180° - 122° = 58°
Now the other triangle contains
27° + y° + (180 - x°) = 180, plug for y°
27 + 58 + 180 - x = 180
x° = 85°
2) To find y°, add angles
65 + 31 + 2y = 180
96 + 2y = 180
2y = 84
y° = 42°
To solve for x°, add inside angles to 180
4x - 1 + 90 + 31 = 180
4x = 60
x = 15°
