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3 votes
What is the measure of ∠ 1 if ∠ 1 is (2x-3) and ∠is (8x)

What is the measure of ∠ 1 if ∠ 1 is (2x-3) and ∠is (8x)-example-1
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User Nvcnvn
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7.7k points

1 Answer

2 votes

We know that:


\angle1+\angle2=180\degree

Then we have:


\begin{gathered} (2x-3)\degree+(8x)\degree=180\degree \\ (10x)\degree-3\degree=180\degree \\ (10x)\degree=183\degree \\ x=(183\degree)/(10) \\ x=18.3\degree \\ \angle1=2\cdot18.3\degree-3\degree \\ \angle1=33.6\degree \end{gathered}

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