∠A and \angle B∠B are vertical angles. If m\angle A=(7x-8) ∘
and m\angle B=(6x+17)
∘
, then find the value of x.

x=25

Step-by-step explanation:

We know vertical angles are equal

<A = <B

7x-8 = 6x+17

Subtract 6x from each side

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

x-8 = 17

Add 8 to each side

x-8+8 = 17+8

x=25

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17