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If mAGB = mBGC, and mCGD = mDGE, find mBGD

Chapter 10, Problem 78

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QUESTION:

If \(m \measuredangle A G B=m \measuredangle B G C\), and \(m \measuredangle C G D=m \measuredangle D G E\), find \(m \measuredangle B G D\).

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QUESTION:

If \(m \measuredangle A G B=m \measuredangle B G C\), and \(m \measuredangle C G D=m \measuredangle D G E\), find \(m \measuredangle B G D\).

ANSWER:

 

Step 1 of 2

Let, \(m \measuredangle AGB=x\) and \(m \measuredangle CGD=y\).

Then finding \(m \measuredangle BGD\).

So, we can draw the given diagram as,

 

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