find the value of x in each the following figure
Answers
fig.(a)
Since, the figure is a quadrilateral, the sum of interior angles is 360°. Then,
x + 2x + (x+20°) + (180°-120°) = 360°
4x + 200° - 120° = 360°
4x + 80° = 360°
4x = 360° - 80°
x = 280°/4
x = 70°.
fig.(b)
Since, the figure is a pentagon, the sum of interior angles is 540°.Then,
x + 2x + (180°-60°) + (x+50°) + (180°-90°)
4x + 410° - 150° = 540°
4x + 260° = 540°
4x = 540° - 260°
x = 280°/4
x = 70°.
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Answer:
1 : 70˚
2 : 70˚
Step-by-step explanation:
Figure 1:
180˚ x 2 = 360˚
180˚ - 120˚ = 60˚
x + 2x + x + 20˚ + 60˚ = 360˚
4x + 80˚ = 360˚
4x = 280˚
x = 70˚
Figure 2:
180˚ x 3 = 540˚
180˚ - 60˚ = 120˚
x + 2x + x + 50˚ + 120˚ + 90˚ = 540˚
4x + 260˚ = 540˚
4x = 280˚
x = 70˚