Answer and Explanation:
Set 1
We are given the following values:
- c = 45°
- a = 90° (right angle)
We can solve for b by using the knowledge that supplementary angles add to 180°:
a + b + c = 180°
90° + b + 45° = 180°
b = 180° - 90° - 45°
b = 45°
Set 2
We are given the following values:
- a = 75°
- c = 90° (right angle)
Again, we can solve for b by using the knowledge that supplementary angles add to 180°:
a + b + c = 180°
75° + b + 90° = 180°
b = 180° - 75° - 90°
b = 15°