/_1 and /_2 are supplementary angles. If m/_1=(7x-2)^(@) and m/_2=(4x+28)^(@), then find the measure of /_1. Answer:

Set up equation: Supplementary angles add up to 180 degrees. We can set up an equation with the given expressions for m/angle 1 and m/angle 2 to find the value of x. m/angle 1 + m/angle 2 = 180 degrees (7x - 2) + (4x + 28) = 180Combine like terms: Combine like terms to simplify the equation. 7x + 4x - 2 + 28 = 180 11x + 26 = 180Isolate x: Subtract 26 from both sides to isolate the term with x. 11x + 26 - 26 = 180 - 26 11x = 154Solve for x: Divide both sides by 11 to solve for x. 11x / 11 = 154 / 11 x = 14Find angle 1: 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 = 7x - 2 m/angle 1 = 7(14) - 2Calculate angle 1: Calculate the value of m/angle 1. m/angle 1 = 98 - 2 m/angle 1 = 96 degrees

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/_1 and
/_2 are supplementary angles. If
m/_1=(7x-2)^(@) and
m/_2=(4x+28)^(@), then find the measure of
/_1.
Answer:

$\angle 1$ and $\angle 2$ are supplementary angles. If $\mathrm{m} \angle 1=(7 x-2)^{\circ}$ and $\mathrm{m} \angle 2=(4 x+28)^{\circ}$ , then find the measure of $\angle 1$ . $\newline$ 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=(7 x-2)^{\circ}

and

\mathrm{m} \angle 2=(4 x+28)^{\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 with the given expressions for $m/\text{angle } 1$ and $m/\text{angle } 2$ to find the value of $x$ . $\newline$ $m/\text{angle } 1 + m/\text{angle } 2 = 180$ degrees $\newline$ $(7x - 2) + (4x + 28) = 180$
Combine like terms: Combine like terms to simplify the equation. $\newline$ $7x + 4x - 2 + 28 = 180$ $\newline$ $11x + 26 = 180$
Isolate $x$ : Subtract $26$ from both sides to isolate the term with $x$ . $11x + 26 - 26 = 180 - 26$ $11x = 154$
Solve for x: Divide both sides by $11$ to solve for x. $\newline$ $\frac{11x}{11} = \frac{154}{11}$ $\newline$ $x = 14$
Find angle $1$ : Now that we have the value of $x$ , we can find the measure of angle $1$ by substituting $x$ back into the expression for $m/\text{angle } 1$ . $\newline$ $m/\text{angle } 1 = 7x - 2$ $\newline$ $m/\text{angle } 1 = 7(14) - 2$
Calculate angle $1$ : Calculate the value of $m/\text{angle } 1$ . $\newline$ $m/\text{angle } 1 = 98 - 2$ $\newline$ $m/\text{angle } 1 = 96$ degrees