Question

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Answer 1

Answer:

4) x = 168°

5) x = 4 ,,, ∠E = 99°

6) x = 200/3° ,,, 2x = 400/3°

Step-by-step explanation:

• the sum of the interior angles of a figure = (number of sides - 2) * 180

4)

the sum of the interior angles = (6 - 2) * 180 = 720°

the sixth angle = the sum of the interior angles - the sum of the five angles

x = 720 - (84 + 87 + 103 + 150 + 128) = 168

5)

the sum of the interior angles = (4 - 2) * 180 = 360°

equation for x:

75 + 100 + 86 + 24x + 3 = 360

24x = 360 - 3 - 86 - 100 - 75

24x = 96

x = 96/24

x = 4

∠E = 24*4 + 3 = 99°

6)

the sum of the interior angles = (5 - 2) * 180 = 540°

equation for x:

100 + 140 + 100 + x + 2x = 540

x + 2x = 540 - 100 - 140 - 100

3x = 200

x = 200/3

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2x = 2*200/3 = 400/3

100 + 100 + 140 + 200/3 + 400/3 =

300/3 + 300/3 + 420/3 + 200/3 + 400/3 =

1620/3 = 540