Question

find the measure of the marked angles. the measure of the angles is degrees. (2x + 47)° (6x + 7)°

Explanation:

Step1: Set the two - angle expressions equal

Vertical angles are equal. So, $2x + 47=6x + 7$.

Step2: Solve for $x$

Subtract $2x$ from both sides: $47 = 4x+7$. Then subtract 7 from both sides: $40 = 4x$. Divide both sides by 4, we get $x = 10$.

Step3: Find the measure of the angle

Substitute $x = 10$ into the expression $2x + 47$. So, $2\times10+47=20 + 47=67$.

Answer:

$67$