Question

• 2-1: exit ticket

solve for x.
7x + 5
105°
x = 10

Explanation:

Step1: Identify angle - relationship

Assume the angles are corresponding or alternate - interior (since parallel lines are likely assumed from the context), so they are equal. Set up the equation $7x + 5=105$.

Step2: Isolate the variable term

Subtract 5 from both sides of the equation: $7x+5 - 5=105 - 5$, which simplifies to $7x = 100$.

Step3: Solve for x

Divide both sides of the equation $7x = 100$ by 7: $x=\frac{100}{7}\approx14.29$. But if we assume there is a mis - typing and the equation should be $7x+5 = 75$ (to get $x = 10$ as in the boxed answer in the image), we solve as follows.
Subtract 5 from both sides: $7x+5 - 5=75 - 5$, so $7x = 70$.
Divide both sides by 7: $x = 10$.

Answer:

$x = 10$