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Find the value of x in each case. PLEASE HELP

Find the value of x in each case. PLEASE HELP
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2 votes
Find the value of x in each case. PLEASE HELP

Find the value of x in each case. PLEASE HELP-example-1
User Juan Rojas
by
8.0k points

1 Answer

3 votes

Answer:

x = 23

Explanation:

∠ ABE = ∠ BEF = 4x ( alternate angles )

Since DBF is a straight line then the 3 angles sum to 180°, that is

x + 4x + 65 = 180

5x + 65 = 180 ( subtract 65 from both sides )

5x = 115 ( divide both sides by 5 )

x = 23

User Rebecca Campbell
by
8.1k points
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