Question

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

Answer 1

EXPLANATION:-

∠POH+70=180  [linear pair]

∠POH=180-70

∠POH=110

NOW,

∠POH=x   [Opposite angles of parallelogram are equal]

x=110

NOW,

40+110+∠EPH=180  [ASP OF TRIANGLE]

∠EPH=30  

NOW.

40=y    [Vertical opposite angle]

y=40

NOW,

∠EPH=z  [VERTICAL OPPOSITE ANGLE]

z=30

Hence x=110 ,y=40,z=30