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The adjacent figure HOPE is a parallelog...

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

Text Solution

Verified by Experts

In a parallelogram, opposite angles are equal andadjacent
anglesaresupplementary.Using this property, we can
calculate the unknown angles
Here`angleHOP+70^@=180^@`(Angle oflinear pair
`angleHOP=180^@-70^@`
`angleHOP=110^@`
`angleO=angleE`(opposite angles are equal).
`x=110^@``y=40^@`(alternateinteriorangle
`z^@+40^@=70^@`
`z=30^@``x=110^@,y=40^@,z=30^@`
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