/_1 and /_2 are supplementary angles. If m/_1=(x+7)^(@) and m/_2=(3x+25)^(@), then find the measure of /_1. 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 (x + 7) + (3x + 25) = 180Combine like terms: Combine like terms on the left side of the equation. x + 7 + 3x + 25 = 180 4x + 32 = 180Isolate x term: Subtract 32 from both sides of the equation to isolate the term with x. 4x + 32 - 32 = 180 - 32 4x = 148Solve for x: Divide both sides of the equation by 4 to solve for x. 4x / 4 = 148 / 4 x = 37Find angle measure: Now that we have the value of x, we can find the measure of angle 1 by substituting x back into the expression for m/angle 1. m/angle 1 = (x + 7) m/angle 1 = (37 + 7) m/angle 1 = 44 degrees

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/_1 and
/_2 are supplementary angles. If
m/_1=(x+7)^(@) and
m/_2=(3x+25)^(@), then find the measure of
/_1.
Answer:

$\angle 1$ and $\angle 2$ are supplementary angles. If $\mathrm{m} \angle 1=(x+7)^{\circ}$ and $\mathrm{m} \angle 2=(3 x+25)^{\circ}$ , then find the measure of $\angle 1$ . $\newline$ Answer:

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Algebra 2

Transformations of functions

Full solution

\angle 1

and

\angle 2

are supplementary angles. If

\mathrm{m} \angle 1=(x+7)^{\circ}

and

\mathrm{m} \angle 2=(3 x+25)^{\circ}

, then find the measure of

\angle 1

\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 $m/\text{angle } 2$ . $\newline$ $m/\text{angle } 1 + m/\text{angle } 2 = 180 \text{ degrees}$ $\newline$ $(x + 7) + (3x + 25) = 180$
Combine like terms: Combine like terms on the left side of the equation. $\newline$ $x + 7 + 3x + 25 = 180$ $\newline$ $4x + 32 = 180$
Isolate x term: Subtract $32$ from both sides of the equation to isolate the term with $x$ . $\newline$ $4x + 32 - 32 = 180 - 32$ $\newline$ $4x = 148$
Solve for x: Divide both sides of the equation by $4$ to solve for x. $\newline$ $\frac{4x}{4} = \frac{148}{4}$ $\newline$ $x = 37$
Find angle measure: Now that we have the value of $x$ , we can find the measure of angle $1$ by substituting $x$ back into the expression for $m/\text{angle } 1$ . $\newline$ $m/\text{angle } 1 = (x + 7)$ $\newline$ $m/\text{angle } 1 = (37 + 7)$ $\newline$ $m/\text{angle } 1 = 44$ degrees