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  • The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.

7. The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.

    

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The adjacent figure HOPE is a parallelogram.

\angle HOP +70\degree = 180\degree (linear pairs)

\angle HOP = 110\degree

x= \angle HOP = 110\degree (opposite angles of a parallelogram are equal)

\angle HOP +\angle EHO = 180\degree ( adjacent angles are supplementary )  

110\degree +(40\degree+z) = 180\degree

z = 180\degree - 150\degree

z = 30\degree

y=40\degree (Alternate interior angles are equal)

 

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seema garhwal

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