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So basically, I need help with finding angles AG and CI :) please be specific!!

So basically, I need help with finding angles AG and CI :) please be specific!!-example-1
User Jason Kao
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1 Answer

4 votes

Given that triangles PIC and GRA are similar, then the next proportion must be satisfied:


(PI)/(GR)=(IC)/(RA)=(PC)/(GA)

Replacing with data and solving for AG,


\begin{gathered} (91)/(119)=(104)/(AG) \\ 91\cdot AG=104\cdot119 \\ AG=(12376)/(91) \\ AG=136 \end{gathered}

Replacing with data and solving for CI,


\begin{gathered} (91)/(119)=(CI)/(102) \\ (91\cdot102)/(119)=CI \\ (9282)/(119)=CI \\ 78=CI \end{gathered}

User Batkins
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