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44 votes
44 votes
Vertical angles 4x+7 and [5(x-4)] what is the value of x

User DazzaL
by
2.9k points

2 Answers

17 votes
17 votes

Answer:

x = 27

Explanation:

vertical angles are congruent , then

5(x - 4) = 4x + 7 ← distribute parenthesis on left side

5x - 20 = 4x + 7 ( subtract 4x from both sides )

x - 20 = 7 ( add 20 to both sides )

x = 27

User Mahala
by
2.7k points
15 votes
15 votes

Answer:

x = 27

Explanation:

Vertical angles are congruent.

5(x - 4 ) = 4x +7

5x - 20 = 4x + 7 {Distributive property}

Add 20 to both sides

5x = 4x + 7 + 20

5x = 4x + 27

Subtract 4x from both sides

5x - 4x = 27

x = 27

User Bart Hofland
by
2.9k points