/_1 and /_2 are complementary angles. If m/_1=(x-26)^(@) and m/_2=(x-28)^(@), 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 definition of complementary angles. m/_1 + m/_2 = 90 degrees Substitute m/_1 with (x-26) degrees and m/_2 with (x-28) degrees. (x-26) + (x-28) = 90Combine and Solve: Combine like terms and solve for x. 2x - 26 - 28 = 90 2x - 54 = 90Isolate x: Add 54 to both sides of the equation to isolate the term with x. 2x - 54 + 54 = 90 + 54 2x = 144Divide and Solve for x: Divide both sides by 2 to solve for x. 2x / 2 = 144 / 2 x = 72Substitute and Find Measure: Now that we have the value of x, substitute it back into the expression for m/_2 to find the measure of the second angle. m/_2 = (x-28) degrees m/_2 = (72-28) degrees m/_2 = 44 degrees

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/_1 and
/_2 are complementary angles. If
m/_1=(x-26)^(@) and
m/_2=(x-28)^(@), then find the measure of
/_2.
Answer:

$\angle 1$ and $\angle 2$ are complementary angles. If $\mathrm{m} \angle 1=(x-26)^{\circ}$ and $\mathrm{m} \angle 2=(x-28)^{\circ}$ , 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-26)^{\circ}

and

\mathrm{m} \angle 2=(x-28)^{\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 definition of complementary angles. $\newline$ $m/_{1} + m/_{2} = 90$ degrees $\newline$ Substitute $m/_{1}$ with $(x-26)$ degrees and $m/_{2}$ with $(x-28)$ degrees. $\newline$ $(x-26) + (x-28) = 90$
Combine and Solve: Combine like terms and solve for $x$ . $2x - 26 - 28 = 90$ $2x - 54 = 90$
Isolate x: Add $54$ to both sides of the equation to isolate the term with $x$ . $\newline$ $2x - 54 + 54 = 90 + 54$ $\newline$ $2x = 144$
Divide and Solve for x: Divide both sides by $2$ to solve for x. $\newline$ $\frac{2x}{2} = \frac{144}{2}$ $\newline$ $x = 72$
Substitute and Find Measure: Now that we have the value of $x$ , substitute it back into the expression for $m/_{2}$ to find the measure of the second angle. $\newline$ $m/_{2} = (x-28)$ degrees $\newline$ $m/_{2} = (72-28)$ degrees $\newline$ $m/_{2} = 44$ degrees