/_1 and /_2 are complementary angles. If m/_1=(4x+2)^(@) and m/_2=(6x-12)^(@), then find the measure of /_2. Answer:

Identify Relationship: Identify the relationship between complementary angles. Complementary angles add up to 90 degrees.Set Up Equation: Set up the equation using the relationship between complementary angles. (4x + 2)° + (6x - 12)° = 90°Combine Like Terms: Combine like terms to simplify the equation. 4x + 6x + 2 - 12 = 90 10x - 10 = 90Add 10: Add 10 to both sides of the equation to isolate the term with the variable. 10x - 10 + 10 = 90 + 10 10x = 100Divide by 10: Divide both sides of the equation by 10 to solve for x. 10x / 10 = 100 / 10 x = 10Substitute for x: Substitute the value of x back into the expression for the measure of the second angle, m/_2. m/_2 = (6x - 12)° m/_2 = (6(10) - 12)° m/_2 = (60 - 12)° m/_2 = 48°

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/_1 and
/_2 are complementary angles. If
m/_1=(4x+2)^(@) and
m/_2=(6x-12)^(@), then find the measure of
/_2.
Answer:

$\angle 1$ and $\angle 2$ are complementary angles. If $\mathrm{m} \angle 1=(4 x+2)^{\circ}$ and $\mathrm{m} \angle 2=(6 x-12)^{\circ}$ , 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=(4 x+2)^{\circ}

and

\mathrm{m} \angle 2=(6 x-12)^{\circ}

, then find the measure of

\angle 2

\newline

Answer:

Identify Relationship: Identify the relationship between complementary angles. Complementary angles add up to $90^\circ$ .
Set Up Equation: Set up the equation using the relationship between complementary angles. $\newline$ $(4x + 2)^\circ + (6x - 12)^\circ = 90^\circ$
Combine Like Terms: Combine like terms to simplify the equation. $\newline$ $4x + 6x + 2 - 12 = 90$ $\newline$ $10x - 10 = 90$
Add $10$ : Add $10$ to both sides of the equation to isolate the term with the variable. $\newline$ $10x - 10 + 10 = 90 + 10$ $\newline$ $10x = 100$
Divide by $10$ : Divide both sides of the equation by $10$ to solve for x. $\newline$ $\frac{10x}{10} = \frac{100}{10}$ $\newline$ $x = 10$
Substitute for $x$ : Substitute the value of $x$ back into the expression for the measure of the second angle, $m/\_2$ . $\newline$ $m/\_2 = (6x - 12)^\circ$ $\newline$ $m/\_2 = (6(10) - 12)^\circ$ $\newline$ $m/\_2 = (60 - 12)^\circ$ $\newline$ $m/\_2 = 48^\circ$