Question

Ajuda aqui, me explica como determinar o valor de x​

Answer 1

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$\green{\rm\underline{EXPLICAC_{\!\!\!,}\tilde{A}O\ PASSO{-}A{-}PASSO\ \ \ }}$✍

❄☃ $\sf(\gray{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})$ ☘☀

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☺lá novamente, Jhonas. Vamos a mais um exercício❗ Acompanhe a resolução abaixo. ✌

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☔ Os exercícios abaixo serão resolvidos com dois conceitos em mente

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1. Ângulos complementares: Um conjunto de ângulos é denominado como um ângulo reto caso estejam em um mesmo vértice, sejam vizinhos (sem outros ângulos entre eles) a sua soma resulte em 90º;
2. Ângulos suplementares: Um conjunto de ângulos é denominado como um ângulo raso caso estejam em um mesmo vértice, sejam vizinhos (sem outros ângulos entre eles) a sua soma resulte em 180º.

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Ⓐ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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☔ Ângulo Reto.

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➡ $\large\sf\blue{ x + 15 = 90 }$

➡ $\large\sf\blue{ x = 90 - 15 }$

➡ $\large\sf\blue{ x = 75 }$

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$\Huge\green{\boxed{\rm~~~\red{ A)}~\gray{x}~\pink{=}~\blue{ 75^{\circ} }~~~}}$ ✅

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Ⓑ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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☔ Ângulo Reto.

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➡ $\large\sf\blue{ 2x - 35 + 65 = 90 }$

➡ $\large\sf\blue{ 2x = 90 - 65 + 35 }$

➡ $\large\sf\blue{ 2x = 60 }$

➡ $\large\sf\blue{ x = \dfrac{60}{2} }$

➡ $\large\sf\blue{ x = 30 }$

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$\Huge\green{\boxed{\rm~~~\red{ B)}~\gray{x}~\pink{=}~\blue{ 30^{\circ} }~~~}}$ ✅

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Ⓒ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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☔ Ângulo Reto.

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➡ $\large\sf\blue{ 2x + 10 + x = 90 }$

➡ $\large\sf\blue{ 3x = 90 - 10 }$

➡ $\large\sf\blue{ 3x = 80 }$

➡ $\large\sf\blue{ x = \dfrac{80}{3} }$

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$\Huge\green{\boxed{\rm~~~\red{ C)}~\gray{x}~\pink{=}~\blue{ \dfrac{80}{3}^{\circ} }~~~}}$ ✅

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Ⓓ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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☔ Ângulo Reto.

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➡ $\large\sf\blue{ 20 + x + 40 = 90 }$

➡ $\large\sf\blue{ x = 90 - 60 }$

➡ $\large\sf\blue{ x = 30 }$

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$\Huge\green{\boxed{\rm~~~\red{ D)}~\gray{x}~\pink{=}~\blue{ 30^{\circ} }~~~}}$ ✅

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Ⓔ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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☔ Ângulo Raso.

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➡ $\large\sf\blue{ 5x - 30 + 2x = 180 }$

➡ $\large\sf\blue{ 7x = 180 + 30 }$

➡ $\large\sf\blue{ 7x = 210 }$

➡ $\large\sf\blue{ x = \dfrac{210}{7} }$

➡ $\large\sf\blue{ x = 30 }$

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$\Huge\green{\boxed{\rm~~~\red{ E)}~\gray{x}~\pink{=}~\blue{ 30^{\circ} }~~~}}$ ✅

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Ⓕ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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☔ Ângulo Raso.

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➡ $\large\sf\blue{ x + 16 + 62 + 3x - 22 = 180 }$

➡ $\large\sf\blue{ 4x = 180 - 56 }$

➡ $\large\sf\blue{ 4x = 124 }$

➡ $\large\sf\blue{ x = \dfrac{124}{4} }$

➡ $\large\sf\blue{ x = 31 }$

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$\Huge\green{\boxed{\rm~~~\red{ F)}~\gray{x}~\pink{=}~\blue{ 31^{\circ} }~~~}}$ ✅

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Ⓖ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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☔ Ângulo Raso.

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➡ $\large\sf\blue{ 5x + 24 + x + 36 = 180 }$

➡ $\large\sf\blue{ 6x = 180 - 60 }$

➡ $\large\sf\blue{ 6x = 120 }$

➡ $\large\sf\blue{ x = \dfrac{120}{6} }$

➡ $\large\sf\blue{ x = 20 }$

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$\Huge\green{\boxed{\rm~~~\red{ G)}~\gray{x}~\pink{=}~\blue{20^{\circ}  }~~~}}$ ✅

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Ⓗ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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☔ Ângulo Raso.

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➡ $\large\sf\blue{ x + 135 = 180 }$

➡ $\large\sf\blue{ x = 180 - 135}$

➡ $\large\sf\blue{ x = 45}$

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$\Huge\green{\boxed{\rm~~~\red{ H)}~\gray{x}~\pink{=}~\blue{ 45^{\circ} }~~~}}$ ✅

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Ⓘ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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☔ Ângulo Reto.

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➡ $\large\sf\blue{ x + x + 9 + 2x + 14 + x + 7 = 180 }$

➡ $\large\sf\blue{ 3x = 180 - 30}$

➡ $\large\sf\blue{ 3x = 150}$

➡ $\large\sf\blue{ x = \dfrac{150}{3}}$

➡ $\large\sf\blue{ x = 150}$

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$\Huge\green{\boxed{\rm~~~\red{ I)}~\gray{x}~\pink{=}~\blue{ 150^{\circ} }~~~}}$ ✅

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$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$☁

☕ $\bf\Large\blue{Bons\ estudos.}$

($\large\orange{D\acute{u}vidas\ nos\ coment\acute{a}rios}$) ☄

$\bf\large\red{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }}\LaTeX$✍

❄☃ $\sf(\gray{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})$ ☘☀

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