/_1 and /_2 are supplementary angles. If m/_1=(3x-30)^(@) and m/_2=(3x+18)^(@), then find the measure of /_2. Answer:

Understand Relationship: Understand the relationship between supplementary angles. Supplementary angles add up to 180 degrees.Set Up Equation: Set up the equation using the relationship between supplementary angles. m/angle 1 + m/angle 2 = 180 degrees (3x - 30) + (3x + 18) = 180Combine and Solve: Combine like terms and solve for x. 6x - 30 + 18 = 180 6x - 12 = 180Isolate Term with x: Add 12 to both sides of the equation to isolate the term with x. 6x - 12 + 12 = 180 + 12 6x = 192Divide to Solve for x: Divide both sides by 6 to solve for x. 6x / 6 = 192 / 6 x = 32Substitute Value of x: Substitute the value of x back into the expression for m/angle 2 to find its measure. m/angle 2 = 3x + 18 m/angle 2 = 3(32) + 18Perform Multiplication and Addition: Perform the multiplication and addition to find the measure of angle 2. m/angle 2 = 96 + 18 m/angle 2 = 114 degrees

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/_1 and
/_2 are supplementary angles. If
m/_1=(3x-30)^(@) and
m/_2=(3x+18)^(@), then find the measure of
/_2.
Answer:

$\angle 1$ and $\angle 2$ are supplementary angles. If $\mathrm{m} \angle 1=(3 x-30)^{\circ}$ and $\mathrm{m} \angle 2=(3 x+18)^{\circ}$ , then find the measure of $\angle 2$ . $\newline$ Answer:

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Full solution

\angle 1

and

\angle 2

are supplementary angles. If

\mathrm{m} \angle 1=(3 x-30)^{\circ}

and

\mathrm{m} \angle 2=(3 x+18)^{\circ}

, then find the measure of

\angle 2

\newline

Answer:

Understand Relationship: Understand the relationship between supplementary angles. Supplementary angles add up to $180$ degrees.
Set Up Equation: Set up the equation using the relationship between supplementary angles. $\newline$ $\frac{m}{\text{angle 1}} + \frac{m}{\text{angle 2}} = 180$ degrees $\newline$ $(3x - 30) + (3x + 18) = 180$
Combine and Solve: Combine like terms and solve for $x$ . $6x - 30 + 18 = 180$ $6x - 12 = 180$
Isolate Term with x: Add $12$ to both sides of the equation to isolate the term with $x$ . $\newline$ $6x - 12 + 12 = 180 + 12$ $\newline$ $6x = 192$
Divide to Solve for $x$ : Divide both sides by $6$ to solve for $x$ . $\frac{6x}{6} = \frac{192}{6}$ $x = 32$
Substitute Value of $x$ : Substitute the value of $x$ back into the expression for $m/\text{angle } 2$ to find its measure. $m/\text{angle } 2 = 3x + 18$ $m/\text{angle } 2 = 3(32) + 18$
Perform Multiplication and Addition: Perform the multiplication and addition to find the measure of angle $2$ . $\newline$ $m/\text{angle } 2 = 96 + 18$ $\newline$ $m/\text{angle } 2 = 114$ degrees