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I'm struggling with finding the angle y. I could really use some help please!

I'm struggling with finding the angle y. I could really use some help please!-example-1

1 Answer

3 votes

Since the segments FE and GH are parallel, the angles
\text{FHG}=22\degreeAlso, the angle
\begin{gathered} \text{FHG}=(HG)/(2) \\ \text{FHG}=(180)/(2) \\ \text{FHG}=90\degree \end{gathered}Then, using the sum of internal angles in triangle FGH, we have:


\begin{gathered} 90+22+y=180 \\ y=180-90-22 \\ y=68\degree \end{gathered}

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