Answer:
1) 135°
2) a = 64°; b= 60°; c=120°;
3)135°
Step-by-step explanation:
1. Interior angles of triangles must add up 180°.
75° + 60° = 135°
Missing angle is 45° (180° - 135° = 45°)
x is supplementary to 45, so 135° (you would do 180° - 45°)
2.
To find a:
56° + 23° = 79°
79° + 37° = 116°
180° - 116° = 64°
To find b:
56° + 64° (a) = 120°
180° - 120° = 60°
To find c:
180° - 60° (b) = 120°
OR
23° + 37° = 60°
180° - 60° = 120°
3. Pentagon's interior angles must add up to 540°
540° - (70° + 110° + 90°)
540° - 270°
270° = 2x ––divide by 2
135° = x
