Question

current skill! find the measure of angle 2. 3x + 19 2x + 39 2 3 5 6 7 8

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Angle 2 and the angle with measure $2x + 39$ is equal to the angle with measure $3x+19$. So we set up the equation $3x + 19=2x + 39$.

Step2: Solve the equation for x

Subtract $2x$ from both sides of the equation $3x + 19=2x + 39$. We get $3x-2x+19=2x - 2x+39$, which simplifies to $x+19 = 39$. 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 measure of angle 2 (which is $2x + 39$). So the measure of angle 2 is $2\times20+39=40 + 39=79$.

Answer:

79