Question

Please Answer the question!​

Answer 1

no.i)

angle B = angle y (Opposite angles)

angle y=100°

angle x + 100° = 180° (Corresponding opposite interior angles)

angle x = 70°

angle x = angle z (Opposite angles)

Therefore, angle x =70°

y= 100°

z=70°

no. ii)

angle y + 50° = 180°(Corresponding opposite interior angles)

angle y = 130°

angle x= angle y (Opposite angles )

angle x= 130°

angle x =angle z (Corresponding angles)

angle z=130°

Therefore, angle x= angle y= angle z= 130°

no.iii)

angle x= 90° ( vertically opposite angles)

angle x+ angle y + 30° = 180° ( Angle sum property of triangle)

angle y = 180°-(30°+90°)

= 60°

angle y = angle z( Alternate angles )

angle z= 60°

Therefore, x=90°

y=z=60°

no.iv)

80°=angle z( Corresponding angles)

angle z= 80°

angle z= angle y ( Alternate angles)

angle y= 80°

angle x+ angle y = 180°(Corresponding opposite interior angles)

angle x=100°

Therefore, x=100°

y=z=80°

no.v)

angle y = 110° ( Opposite angles)

angle y + 40° +angle x =180° (Angle sum property of triangle)

angle x= 180-(40+110)°

angle x= 30°

angle x= angle z= 30° ( Alternate angles)

Therefore, x=z=30°

y = 110°

Hope it helps ☺️

Answer 2

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