a)
Let x, be the missing angle.
We know the sum of the internal angles of a triangle is 180°; then:
50° + 90° + x = 180°
x = 180° - 50° - 90°
x = 40°
b)
Let x, be the missing angle.
We know the sum of the internal angles of a quadrilateral is 360°; then:
80° + 100° + 30° + x = 360°
x = 360° - 80° - 100° - 30°
x = 150°