/_1 and /_2 are supplementary angles. If m/_1=(4x-16)^(@) and m/_2=(x+1)^(@), then find the measure of /_2.

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. Calculation: (4x - 16) + (x + 1) = 180Simplify equation: Combine like terms to simplify the equation. Calculation: 4x + x - 16 + 1 = 180 5x - 15 = 180Isolate x: Add 15 to both sides of the equation to isolate the term with x. Calculation: 5x - 15 + 15 = 180 + 15 5x = 195Solve for x: Divide both sides of the equation by 5 to solve for x. Calculation: 5x / 5 = 195 / 5 x = 39Find angle 2: Now that we have the value of x, we can find the measure of angle 2 by substituting x into the expression for m/angle 2. Calculation: m/angle 2 = (x + 1) degrees m/angle 2 = (39 + 1) degrees m/angle 2 = 40 degrees

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

/_1 and /_2 are supplementary angles. If m/_1=(4x-16)^(@) and m/_2=(x+1)^(@), then find the measure of /_2.

$\angle 1$ and $\angle 2$ are supplementary angles. If $\mathrm{m} \angle 1=(4 x-16)^{\circ}$ and $\mathrm{m} \angle 2=(x+1)^{\circ}$ , then find the measure of $\angle 2$ .

View step-by-step help

Home

Math Problems

Algebra 2

Transformations of functions

Full solution

\angle 1

and

\angle 2

are supplementary angles. If

\mathrm{m} \angle 1=(4 x-16)^{\circ}

and

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

, then find the measure of

\angle 2

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 $x$ . $\newline$ Calculation: $(4x - 16) + (x + 1) = 180$
Simplify equation: Combine like terms to simplify the equation. $\newline$ Calculation: $4x + x - 16 + 1 = 180$ $\newline$ $5x - 15 = 180$
Isolate $x$ : Add $15$ to both sides of the equation to isolate the term with $x$ . $\newline$ Calculation: $5x - 15 + 15 = 180 + 15$ $\newline$ $5x = 195$
Solve for x: Divide both sides of the equation by $5$ to solve for x. $\newline$ Calculation: $\frac{5x}{5} = \frac{195}{5}$ $\newline$ $x = 39$
Find angle $2$ : Now that we have the value of $x$ , we can find the measure of angle $2$ by substituting $x$ into the expression for $m/\text{angle } 2$ . $\newline$ Calculation: $m/\text{angle } 2 = (x + 1)$ degrees $\newline$ $m/\text{angle } 2 = (39 + 1)$ degrees $\newline$ $m/\text{angle } 2 = 40$ degrees