/_1 and /_2 are vertical angles. If m/_1=(2x+13)^(@) and m/_2=(7x+28)^(@), then find the measure of /_2. Answer:

Vertical angles congruent: Vertical angles are congruent, so m/angle 1 = m/angle 2. Set the expressions for m/angle 1 and m/angle 2 equal to each other to solve for x. (2x + 13) = (7x + 28)Set expressions equal: Subtract 2x from both sides to get the x terms on one side. (2x + 13) - 2x = (7x + 28) - 2x 13 = 5x + 28Subtract x terms: Subtract 28 from both sides to isolate the x term. 13 - 28 = 5x + 28 - 28 -15 = 5xIsolate x term: Divide both sides by 5 to solve for x. -15 / 5 = 5x / 5 x = -3Divide by 5: Now that we have the value of x, substitute it back into the expression for m/angle 2 to find the measure of angle 2. m/angle 2 = (7x + 28) m/angle 2 = (7(-3) + 28)Substitute x value: Calculate the value of m/angle 2. m/angle 2 = (-21 + 28) m/angle 2 = 7 degrees

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/_1 and
/_2 are vertical angles. If
m/_1=(2x+13)^(@) and
m/_2=(7x+28)^(@), then find the measure of
/_2.
Answer:

$\angle 1$ and $\angle 2$ are vertical angles. If $\mathrm{m} \angle 1=(2 x+13)^{\circ}$ and $\mathrm{m} \angle 2=(7 x+28)^{\circ}$ , then find the measure of $\angle 2$ . $\newline$ Answer:

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Math Problems

Algebra 1

Transformations of quadratic functions

Full solution

\angle 1

and

\angle 2

are vertical angles. If

\mathrm{m} \angle 1=(2 x+13)^{\circ}

and

\mathrm{m} \angle 2=(7 x+28)^{\circ}

, then find the measure of

\angle 2

\newline

Answer:

Vertical angles congruent: Vertical angles are congruent, so $m/\angle 1 = m/\angle 2$ . Set the expressions for $m/\angle 1$ and $m/\angle 2$ equal to each other to solve for $x$ . $\newline$ $(2x + 13) = (7x + 28)$
Set expressions equal: Subtract $2x$ from both sides to get the $x$ terms on one side. $\newline$ $(2x + 13) - 2x = (7x + 28) - 2x$ $\newline$ $13 = 5x + 28$
Subtract $x$ terms: Subtract $28$ from both sides to isolate the $x$ term. $\newline$ $13 - 28 = 5x + 28 - 28$ $\newline$ $-15 = 5x$
Isolate $x$ term: Divide both sides by $5$ to solve for $x$ . $\newline$ $-\frac{15}{5} = \frac{5x}{5}$ $\newline$ $x = -3$
Divide by $5$ : Now that we have the value of $x$ , substitute it back into the expression for $m/\text{angle } 2$ to find the measure of angle $2$ . $m/\text{angle } 2 = (7x + 28)$ $m/\text{angle } 2 = (7(-3) + 28)$
Substitute $x$ value: Calculate the value of $m/\text{angle } 2$ . $m/\text{angle } 2 = (-21 + 28)$ $m/\text{angle } 2 = 7$ degrees