Respuesta :

Answer:

x = 25

Step-by-step explanation:

Given:

  • ∠A = ∠B    (Vertically opposite angles)
  • ∠A = (7x - 8)°
  • ∠B = (6x + 17)°

Since ∠A is equivalent to ∠B...

[tex]\implies (7x - 8)= (6x + 17)[/tex]

Open the parenthesis:

[tex]\implies 7x - 8= 6x + 17[/tex]

Add 8 both sides:

[tex]\implies 7x - 8 + 8= 6x + 17 + 8[/tex]

Simplify both sides:

[tex]\implies 7x = 6x + 25[/tex]

Subtract 6x both sides:

[tex]\implies 7x - 6x = 6x - 6x + 25[/tex]

Simplify both sides:

[tex]\implies x = 25[/tex]

Lenvy

Answer:

 x = 25

Step-by-step explanation:

Putting Both angels together:

Since,

m∠A = (7x - 8)°

m∠B = (6x + 17)°

Then,

(7x-8) = (6x+17)

Solving for x:

7x - 8 = 6x + 17

    + 8           +8

--------------------------

7x = 6x + 25

-6x   -6x    

-------------------

x = 25

Hence Answer is 25

~Lenvy~

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