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∠A and \angle B∠B are vertical angles. If m\angle A=(5x+6)^{\circ}∠A=(5x+6)

and m\angle B=(6x-25)^{\circ}∠B=(6x−25)

, then find the value of x.


Sagot :

Answer:

Step-by-step explanation:

Vertical angles are equal

<A = <B

5x + 6 = 6x - 25                    Add 25 to both sides

5x + 6 + 25 = 6x                   Combine

5x + 31 = 6x                           Subtract 5x from both sides

31 = 6x - 5x

x = 31