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Find the value of x in each case. Give reasons to justify your solutions!

Find the value of x in each case. Give reasons to justify your solutions!-example-1
User Malik Umar
by
7.1k points

2 Answers

1 vote

Answer:

x = 27

Explanation:

hope i helped

User Guido Van Rossum
by
7.2k points
2 votes

Answer:

x = 27

Explanation:

Since AC and DE are parallel lines, then

∠ BAD = ∠ EDF= 2x ( corresponding angles )

The sum of the 3 angles in Δ BAD = 180°, thus

2x + 2x + 72 = 180, that is

4x + 72 = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

User Riccamini
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6.9k points