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liberstina [14]
2 years ago
9

In the figure shown below, AC is parallel to DE with transversal BF

Mathematics
1 answer:
densk [106]2 years ago
4 0

Answer:

<h3>X = 142°</h3><h3>Y = 38° </h3>

<em><u>Given </u></em><em><u>-</u></em><em><u> </u></em> AC is parallel to DE

angle 3y + 28 = angle X ( Vertically opposite angles are equal).

3y + 28 = X

X + Y = 180° ( supplementary angles).

3y - X = (-28)

Solving both the equation we get

multiply eq 1 with 3

3x + 3y = 540

-X + 3y = (-28)

subtracting

4x = 568

x = 142°

3y + 28 = 142

3y = 142 - 28

3y = 114

y = 38°

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<em>Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.</em>

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