Answer:
1) y = 115°
2) x = 120°
3) x = 163°
Step-by-step explanation:
- the sum of the interior angles of a figure = (number of sides - 2) * 180
1)
the sum of the interior angles of this figure = (5 - 2) * 180 = 540°
the fifth angle = the sum of the interior angles - the sum of the four angles
the fifth angle or y = 540 - (90 + 135 + 112 + 88) = 115
2)
the sum of the interior angles = (6 - 2) * 180 = 720°
x = 720 - (90 + 90 + 140 + 150 + 130) = 120
3)
the sum of the interior angles = (5 - 2) * 180 = 540°
x = 540 - (68 + 121 + 103 + 85) = 163
