/_1 and /_2 are vertical angles. If m/_1=(8x-10)^(@) and m/_2=(6x+26)^(@), then find the value of x. Answer:

Set Equal Expressions: Vertical angles are congruent, which means they have equal measures. Therefore, we can set the expressions for m/_1 and m/_2 equal to each other to find the value of x. (8x - 10) = (6x + 26)Combine Like Terms: To solve for x, we need to get all the x terms on one side and the constant terms on the other side. We can do this by subtracting 6x from both sides and adding 10 to both sides. 8x - 10 - 6x = 6x + 26 - 6x 8x - 6x - 10 + 10 = 26 + 10Simplify Equation: Simplify the equation by combining like terms. 2x = 36Divide by 2: To find the value of x, divide both sides of the equation by 2. x = 36 / 2Calculate Value: Calculate the value of x. x = 18

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Precalculus

Find the roots of factored polynomials

Full solution

\angle 1

and

\angle 2

are vertical angles. If

\mathrm{m} \angle 1=(8 x-10)^{\circ}

and

\mathrm{m} \angle 2=(6 x+26)^{\circ}

, then find the value of

x

\newline

Answer:

Set Equal Expressions: Vertical angles are congruent, which means they have equal measures. Therefore, we can set the expressions for $m/\angle_1$ and $m/\angle_2$ equal to each other to find the value of $x$ . $(8x - 10) = (6x + 26)$
Combine Like Terms: To solve for $x$ , we need to get all the $x$ terms on one side and the constant terms on the other side. We can do this by subtracting $6x$ from both sides and adding $10$ to both sides. $\newline$ $8x - 10 - 6x = 6x + 26 - 6x$ $\newline$ $8x - 6x - 10 + 10 = 26 + 10$
Simplify Equation: Simplify the equation by combining like terms. $2x = 36$
Divide by $2$ : To find the value of $x$ , divide both sides of the equation by $2$ . $x = \frac{36}{2}$
Calculate Value: Calculate the value of $x$ . $x = 18$