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question ∠1 and ∠2 are vertical angles. if m∠1 = (x + 18)° and m∠2 = 9°…

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∠1 and ∠2 are vertical angles. if m∠1 = (x + 18)° and m∠2 = 9°, then find the value of x.
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Explanation:

Step1: Recuerda la propiedad de ángulos verticales

Ángulos verticales son iguales, así que \( m\angle 1 = m\angle 2 \).

Step2: Sustituye los valores dados

Sabemos que \( m\angle 1 = (x + 18)^\circ \) y \( m\angle 2 = 9^\circ \). Entonces:
\( x + 18 = 9 \)

Step3: Resuelve para \( x \)

Resta 18 de ambos lados:
\( x = 9 - 18 \)
\( x = -9 \)

Answer:

\( x = -9 \)