Math, asked by cuteprincess84, 3 months ago

please tell me asap....​

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Answered by urmilamahiya021
1

Answer:

may be the answer y=65x=65and z=50

Answered by Anushka786
5

{\underline{\underline{\bf{given \: : }}}}

  • AB || CD and CD || EF and EA || AB

  • ∠BEF = 65°

{\underline{\underline{\bf{to \: find : }}}}

  • Finding x, y, z

{\underline{\underline{\bf{answer : }}}}

  • For finding y =

= As we know that co-intenior angles =

∠2 + ∠5 = 180°

65° + y = 180°

y = 180° - 65°

y = 115°

  {\boxed{\underline{\pink{\tt{y \:  = 115}}}}}

  • For finding x =

= As we know that vertically opposite angles are equal so,

∠8 = ∠6

∠ D = ∠115°

so,

∠ 115° = ∠ 115°

then

= As we know that Alternate interior angles are equal =

∠D = ∠x

∠ 115° = ∠x

So,

{\boxed{\underline{\pink{\tt {x \: \:  =  \: 115}}}}}

  • For finding z =

= As we know that right angles are equal to 90° =

∠z + ∠65° = 90°

∠z = 90° - 65°

∠ z = 25°

{\boxed{\underline{\pink{\tt{z \:  = 25}}}}}

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