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

The adjacent figure is a parallelogram. Find the angle measures x, y a

1.	The adjacent figure is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.
Answer» <html><body><p>Since <a href="https://interviewquestions.tuteehub.com/tag/hope-25911" style="font-weight:bold;" target="_blank" title="Click to know more about HOPE">HOPE</a> is a <a href="https://interviewquestions.tuteehub.com/tag/parallelogram-1146678" style="font-weight:bold;" target="_blank" title="Click to know more about PARALLELOGRAM">PARALLELOGRAM</a>, <a href="https://interviewquestions.tuteehub.com/tag/therefore-706901" style="font-weight:bold;" target="_blank" title="Click to know more about THEREFORE">THEREFORE</a>, HE∥OP and HO∥EPNow, HE∥OP and transversal HO intersects them.∴∠EHO=∠POX[∵ Corresponding angles are <a href="https://interviewquestions.tuteehub.com/tag/equal-446400" style="font-weight:bold;" target="_blank" title="Click to know more about EQUAL">EQUAL</a>]∠40 o +z=70 o ⇒z=70 o −40 o =30 o Again, HE∥OP and transversal <a href="https://interviewquestions.tuteehub.com/tag/hp-480511" style="font-weight:bold;" target="_blank" title="Click to know more about HP">HP</a> intersects them.∴∠OPH=∠EHP[∵ Alternate angles are equal)⇒y=40 o Since opposite angles are equal in a parallelogram.∴∠HEP=∠HOP⇒x=180 o −∠POX=180 o −70 o =110 o Hence, x=110 o ,y=40 o and z=30 ohope it help you</p></body></html>