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The adjacent figure is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them. |
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Answer» Since HOPE is a PARALLELOGRAM, THEREFORE, HE∥OP and HO∥EPNow, HE∥OP and transversal HO intersects them.∴∠EHO=∠POX[∵ Corresponding angles are EQUAL]∠40 o +z=70 o ⇒z=70 o −40 o =30 o Again, HE∥OP and transversal HP 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 |
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