/_1 and /_2 are supplementary angles. If m/_1=(2x-26)^(@) and m/_2=(5x-11)^(@), then find the measure of /_2. Answer:

Set up equation: Supplementary angles add up to 180 degrees. We can set up an equation using the expressions for m/angle 1 and m/angle 2. m/angle 1 + m/angle 2 = 180 degrees (2x - 26) + (5x - 11) = 180Combine like terms: Combine like terms on the left side of the equation. 2x + 5x - 26 - 11 = 180 7x - 37 = 180Isolate variable: Add 37 to both sides of the equation to isolate the term with the variable x. 7x - 37 + 37 = 180 + 37 7x = 217Solve for x: Divide both sides of the equation by 7 to solve for x. 7x / 7 = 217 / 7 x = 31Find angle 2: Now that we have the value of x, we can find the measure of angle 2 by substituting x back into the expression for m/angle 2. m/angle 2 = 5x - 11 m/angle 2 = 5(31) - 11Calculate angle 2: Calculate the value of m/angle 2. m/angle 2 = 155 - 11 m/angle 2 = 144 degrees

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/_1 and
/_2 are supplementary angles. If
m/_1=(2x-26)^(@) and
m/_2=(5x-11)^(@), then find the measure of
/_2.
Answer:

$\angle 1$ and $\angle 2$ are supplementary angles. If $\mathrm{m} \angle 1=(2 x-26)^{\circ}$ and $\mathrm{m} \angle 2=(5 x-11)^{\circ}$ , then find the measure of $\angle 2$ . $\newline$ Answer:

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Math Problems

Algebra 2

Transformations of functions

Full solution

\angle 1

and

\angle 2

are supplementary angles. If

\mathrm{m} \angle 1=(2 x-26)^{\circ}

and

\mathrm{m} \angle 2=(5 x-11)^{\circ}

, then find the measure of

\angle 2

\newline

Answer:

Set up equation: Supplementary angles add up to $180$ degrees. We can set up an equation using the expressions for $m/\text{angle } 1$ and $m/\text{angle } 2$ . $m/\text{angle } 1 + m/\text{angle } 2 = 180$ degrees $(2x - 26) + (5x - 11) = 180$
Combine like terms: Combine like terms on the left side of the equation. $\newline$ $2x + 5x - 26 - 11 = 180$ $\newline$ $7x - 37 = 180$
Isolate variable: Add $37$ to both sides of the equation to isolate the term with the variable $x$ . $\newline$ $7x - 37 + 37 = 180 + 37$ $\newline$ $7x = 217$
Solve for x: Divide both sides of the equation by $7$ to solve for x. $\newline$ $\frac{7x}{7} = \frac{217}{7}$ $\newline$ $x = 31$
Find angle $2$ : Now that we have the value of $x$ , we can find the measure of angle $2$ by substituting $x$ back into the expression for $m/\text{angle } 2$ .
$m/\text{angle } 2 = 5x - 11$
$m/\text{angle } 2 = 5(31) - 11$
Calculate angle $2$ : Calculate the value of $m/\text{angle } 2$ . $\newline$ $m/\text{angle } 2 = 155 - 11$ $\newline$ $m/\text{angle } 2 = 144$ degrees