Question

53- Os polígonos ABCDEI, EFGHI e IJA são regulares. Nestas
condições, o complemento do ângulo JîH mede:
a) 72°.
b) 36°.
c) 18°.
d) 9°.
e) 4°.
​

Answer 1

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⠀⠀☞ O complemento do ângulo JÎH vale 18º, o que nos leva à opção c). ✅

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⚡ " -Quanto vale o ângulo JÎH?"

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➡️⠀O replemento da soma dos ângulos AÎJ (60º), EÎA (120º) e HÎE (108º).

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⚡ " -O são ângulos replementares?"

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➡️⠀Ângulos que somados resultam em 360º.

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$\Large\blue{\sf J\hat{I}H + 60 + 120 + 108 = 360}$

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$\Large\blue{\sf J\hat{I}H = 360 - 60 - 120 - 108}$

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$\LARGE\blue{\sf J\hat{I}H = 72^{\circ}}$

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⚡ " -O são ângulos complementares?"

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➡️⠀Ângulos que somados resultam em 90º.

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$\LARGE\blue{\sf 72 + x = 90}$

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$\LARGE\blue{\sf x = 90 - 72}$

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$\LARGE\blue{\sf x = 18^{\circ}}$

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⭐ O que nos leva à opção c). ✌

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$\Huge\green{\boxed{\rm~~~\red{c)}~\blue{ 18^{\circ} }~~~}}$ ✅

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

⠀⠀☀️ Leia mais sobre ângulos:

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✈ https://brainly.com.br/tarefa/38316843

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

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

⠀⠀⠀⠀☕ $\Large\blue{\text{\bf Bons~estudos.}}$

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

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

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

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$\Huge\green{\text{ \underline{\red{\mathbb{S}}\blue{\mathfrak{oli}}~}~\underline{\red{\mathbb{D}}\blue{\mathfrak{eo}}~}~\underline{\red{\mathbb{G}}\blue{\mathfrak{loria}}~} }}$ ✞

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