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A and B vertical angles. If m A = (5x + 6)° and m B = (6x – 25)
then find the value of x

Sagot :

xKelvin

Answer:

[tex]x = 31[/tex]

Step-by-step explanation:

Recall that vertical angles are congruent. In other words:

[tex]\displaystyle \angle A \cong \angle B[/tex]

Hence:

[tex]\displaystyle m\angle A = m\angle B[/tex]

Substitute:

[tex]\displaystyle \left(5x + 6\right) = \left(6x - 25\right)[/tex]

Solve for x. Subtract 5x from both sides:

[tex]\displaystyle 6 = x - 25[/tex]

And add 25 to both sides:

[tex]x = 31[/tex]

In conclusion:

[tex]x = 31[/tex]

OverpoweredNoob

Answer:

x = 31

Step-by-step explanation:

5x + 6 = 6x - 25,

31 = x

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