Question

problem 20: two angles are a linear pair. the measure of the first angle minus 39 is equal to twice the measure of the second angle. what are the measures of both angles? after you enter your answer press go.

Explanation:

Step1: Set up equations

Let the first - angle be $x$ and the second angle be $y$. Since they are a linear pair, $x + y=180$, so $y = 180 - x$. Also, $x−39 = 2y$.

Step2: Substitute $y$

Substitute $y = 180 - x$ into $x−39 = 2y$. We get $x−39=2(180 - x)$.

Step3: Expand and solve for $x$

Expand the right - hand side: $x−39 = 360-2x$. Add $2x$ to both sides: $x + 2x-39=360$, $3x-39 = 360$. Add 39 to both sides: $3x=360 + 39=399$. Divide both sides by 3: $x=\frac{399}{3}=103$.

Step4: Solve for $y$

Since $y = 180 - x$, substitute $x = 103$ into it. So $y=180 - 103 = 77$.

Answer:

103, 77