/_1 and /_2 are vertical angles. If m/_1=(7x-14)^(@) and m/_2=(4x+25)^(@), then find the value of x. Answer:

Set Angle Expressions Equal: 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. (7x - 14) = (4x + 25)Subtract 4x: Subtract 4x from both sides to start isolating the variable x on one side of the equation. 7x - 14 - 4x = 4x + 25 - 4x This simplifies to: 3x - 14 = 25Add 14: Add 14 to both sides to further isolate x. 3x - 14 + 14 = 25 + 14 This simplifies to: 3x = 39Divide by 3: Divide both sides by 3 to solve for x. 3x / 3 = 39 / 3 This simplifies to: x = 13

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/_1 and
/_2 are vertical angles. If
m/_1=(7x-14)^(@) and
m/_2=(4x+25)^(@), then find the value of
x.
Answer:

$\angle 1$ and $\angle 2$ are vertical angles. If $\mathrm{m} \angle 1=(7 x-14)^{\circ}$ and $\mathrm{m} \angle 2=(4 x+25)^{\circ}$ , then find the value of $x$ . $\newline$ Answer:

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Math Problems

Precalculus

Find the roots of factored polynomials

Full solution

\angle 1

and

\angle 2

are vertical angles. If

\mathrm{m} \angle 1=(7 x-14)^{\circ}

and

\mathrm{m} \angle 2=(4 x+25)^{\circ}

, then find the value of

x

\newline

Answer:

Set Angle Expressions Equal: 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 $x$ . $(7x - 14) = (4x + 25)$
Subtract $4x$ : Subtract $4x$ from both sides to start isolating the variable $x$ on one side of the equation. $\newline$ $7x - 14 - 4x = 4x + 25 - 4x$ $\newline$ This simplifies to: $\newline$ $3x - 14 = 25$
Add $14$ : Add $14$ to both sides to further isolate $x$ . $\newline$ $3x - 14 + 14 = 25 + 14$ $\newline$ This simplifies to: $\newline$ $3x = 39$
Divide by $3$ : Divide both sides by $3$ to solve for $x$ . $\frac{3x}{3} = \frac{39}{3}$ This simplifies to: $x = 13$