Question

current skill $ find the measure of angle 2. label optional

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $3x + 19=2x + 39$.

Step2: Solve the equation for x

Subtract $2x$ from both sides: $3x-2x+19=2x - 2x+39$, which gives $x + 19=39$. Then subtract 19 from both sides: $x=39 - 19$, so $x = 20$.

Step3: Find the measure of angle 2

Substitute $x = 20$ into the expression for the angle adjacent to angle 2 (either $3x + 19$ or $2x + 39$). Using $3x+19$, we have $3\times20+19=60 + 19=79$. Angle 2 and the angle with measure $3x + 19$ are vertical angles. So the measure of angle 2 is also 79.

Answer:

79