Question

what is the relationship of ∠1 and ∠2? alternate exterior angles
which equation should you use to solve for x? 6x + 39 = 10x - 3
x = 10.5
m∠2 = 177

Explanation:

Step1: Solve the equation

$$6x + 39 = 10x - 3$$
Subtract $6x$ from both sides:
$$39 = 4x - 3$$
Add $3$ to both sides:
$$42 = 4x$$
Divide both sides by $4$:
$$x=\frac{42}{4}=10.5$$

Step2: Find the measure of $\angle2$

Substitute $x = 10.5$ into $6x+39$ (or $10x - 3$)
Using $6x+39$: $6\times10.5+39=63 + 39=102$
Using $10x - 3$: $10\times10.5-3=105 - 3=102$

Answer:

$m\angle2 = 102$