/_1 and /_2 are complementary angles. If m/_1=(2x-13)^(@) and m/_2=(x-17)^(@), then find the measure of /_2. Answer:

Set up equation: Complementary angles add up to 90 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. Equation: (2x - 13) + (x - 17) = 90Combine like terms: Combine like terms in the equation. 2x + x - 13 - 17 = 90 3x - 30 = 90Isolate x: Add 30 to both sides of the equation to isolate the term with x. 3x - 30 + 30 = 90 + 30 3x = 120Solve for x: Divide both sides of the equation by 3 to solve for x. 3x / 3 = 120 / 3 x = 40Find 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. m/angle 2 = (x - 17) degrees m/angle 2 = (40 - 17) degrees m/angle 2 = 23 degrees

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

/_1 and
/_2 are complementary angles. If
m/_1=(2x-13)^(@) and
m/_2=(x-17)^(@), then find the measure of
/_2.
Answer:

$\angle 1$ and $\angle 2$ are complementary angles. If $\mathrm{m} \angle 1=(2 x-13)^{\circ}$ and $\mathrm{m} \angle 2=(x-17)^{\circ}$ , then find the measure of $\angle 2$ . $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 2

Transformations of functions

Full solution

\angle 1

and

\angle 2

are complementary angles. If

\mathrm{m} \angle 1=(2 x-13)^{\circ}

and

\mathrm{m} \angle 2=(x-17)^{\circ}

, then find the measure of

\angle 2

\newline

Answer:

Set up equation: Complementary angles add up to $90$ 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 $x$ . $\newline$ Equation: $(2x - 13) + (x - 17) = 90$
Combine like terms: Combine like terms in the equation. $\newline$ $2x + x - 13 - 17 = 90$ $\newline$ $3x - 30 = 90$
Isolate x: Add $30$ to both sides of the equation to isolate the term with $x$ . $\newline$ $3x - 30 + 30 = 90 + 30$ $\newline$ $3x = 120$
Solve for x: Divide both sides of the equation by $3$ to solve for x. $\newline$ $\frac{3x}{3} = \frac{120}{3}$ $\newline$ $x = 40$
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 $m/\text{angle } 2$ .
$m/\text{angle } 2 = (x - 17)$ degrees
$m/\text{angle } 2 = (40 - 17)$ degrees
$m/\text{angle } 2 = 23$ degrees