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sachin11211:
35°
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In parallelogram KNIP ,
angle x = 35 °
[ the diagonals bisects the parallelogram into two congruent triangles Triangle KNP and Triangle NPI ]
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angle y = 95 °
[ opposite angles of a parallelogram are equal ]
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angle NKP + angle KNI = 180°
[ adjacent angles of a parallelogram add to 180° ]
angle z + angle x + angle y = 180°
==> angle z + 35° + 95° = 180°
==> angle z + 130° = 180°
==> angle z = 180° - 130°
==> angle z = 50°
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The answers are:
angle x = 35 °
angle y = 95 °
angle z = 50 °
Hope it helps you
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