The adjacent figure \(HOPE\) is a parallelogram. Find the angle measures \(x, y\) and \(z\). State the properties you use to find them.
Solution and Explanation
\(y = 40° (Alternate\; interior\; angles) \\70° = z + 40º \;(Corresponding\; angles) \\70° - 40° = z \\z = 30°\\ x + (z + 40º) = 180° \;(Adjacent \;pair \;of \;angles) \\x + 70º = 180° \\x = 110°\)
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