/_1 and /_2 are complementary angles. If m/_1=(x+11)^(@) and m/_2=(3x-1)^(@), 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: (x + 11) + (3x - 1) = 90Combine like terms: Combine like terms in the equation. 4x + 10 = 90Isolate x: Subtract 10 from both sides to isolate the term with x. 4x = 80Solve for x: Divide both sides by 4 to solve for x. x = 20Find 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 = 3(20) - 1Calculate angle 2: Calculate the value of m/angle 2. m/angle 2 = 60 - 1 m/angle 2 = 59 degrees

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/_1 and
/_2 are complementary angles. If
m/_1=(x+11)^(@) and
m/_2=(3x-1)^(@), then find the measure of
/_2.
Answer:

$\angle 1$ and $\angle 2$ are complementary angles. If $\mathrm{m} \angle 1=(x+11)^{\circ}$ and $\mathrm{m} \angle 2=(3 x-1)^{\circ}$ , then find the measure of $\angle 2$ . $\newline$ Answer:

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Math Problems

Algebra 2

Transformations of functions

Full solution

\angle 1

and

\angle 2

are complementary angles. If

\mathrm{m} \angle 1=(x+11)^{\circ}

and

\mathrm{m} \angle 2=(3 x-1)^{\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 $m/\angle 1$ and $m/\angle 2$ to find the value of $x$ . $\newline$ Equation: $(x + 11) + (3x - 1) = 90$
Combine like terms: Combine like terms in the equation. $4x + 10 = 90$
Isolate $x$ : Subtract $10$ from both sides to isolate the term with $x$ . $4x = 80$
Solve for x: Divide both sides by $4$ to solve for $x$ . $x = 20$
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 $m/\text{angle } 2$ . $m/\text{angle } 2 = 3(20) - 1$
Calculate angle $2$ : Calculate the value of $m/\text{angle } 2$ . $\newline$ $m/\text{angle } 2 = 60 - 1$ $\newline$ $m/\text{angle } 2 = 59$ degrees