1 در هر قسمت، اندازهٔ زاویهٔ مجهول را پیدا کنید.
الف

ب

ج

د

الف
\(\begin{array}{l}x + {32^ \circ } = {180^ \circ }\\\\ \Rightarrow x = {144^ \circ }\end{array}\)
ب
\(\begin{array}{l}y = z\\\\y + {55^ \circ } = {180^ \circ }\\\\ \Rightarrow y = {125^ \circ }\\\\ \Rightarrow z = {125^ \circ }\end{array}\)
ج
\(\begin{array}{l}x + {60^ \circ } = {180^ \circ }\\\\ \Rightarrow x = {120^ \circ }\end{array}\)
د
\(\begin{array}{l}y + {55^ \circ } = {180^ \circ }\\\\ \Rightarrow y = {40^ \circ } + {55^ \circ } = {95^ \circ }\end{array}\)
2 مانند نمونه با تشکیل معادله، مقدار x را پیدا کنید.
الف

\(2x + {30^ \circ } + {130^ \circ } = {180^ \circ }\)
ب

ج

الف
\(\begin{array}{l}2x + {30^ \circ } + {130^ \circ } = {180^ \circ }\\\\ \Rightarrow 2x + {160^ \circ } = {180^ \circ }\\\\ \Rightarrow 2x = {20^ \circ }\\\\ \Rightarrow x = {10^ \circ }\end{array}\)
ب
\(\begin{array}{l}2x - {25^ \circ } = {155^ \circ }\\\\ \Rightarrow 2x = {180^ \circ }\\\\ \Rightarrow x = {90^ \circ }\end{array}\)
ج
\(\begin{array}{l}x + {40^ \circ } = {60^ \circ }\\\\ \Rightarrow x = {20^ \circ }\end{array}\)