Answer
m$\angle$ 1 = 120$^{\circ}$
Work Step by Step
Step 1. m$\angle$ 1 + m$\angle$ 2 = 180$^{\circ}$
Step 2: Substitute in 2x for m$\angle$ 1 and x for m$\angle$ 2.
2x + x = 180
Step 3: Simplify the left side of the equation.
3x = 180
Step 4: Divide both sides of the equation by 3.
$\frac{3x}{3}$ = $\frac{180}{3}$
Step 5: Solve. x = 60
Step 6: Substitute the value of x into m$\angle$ 1 = 2x
m$\angle$ 1 = 2(60)
Step 5: Simplify. m$\angle$ 1 = 120$^{\circ}$