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a) work out the size of angle x
b) give reasons for your answer

A Work Out The Size Of Angle X B Give Reasons For Your Answer class=

Sagot :

Omg888205idn

Answer:

angle B=100 degrees

vertically opposite angle

angle B +x= 180 degree

100-180=x

80 degree =x

Dead3illidn

Answer:

x = 80°

Step-by-step explanation:

GIVEN :-

  • AD ║ EH
  • CG as transversal
  • ∠CBD = 100°
  • ∠EFB = x°

TO FIND :-

  • The measure of x°

PROCEDURE :-

∠CBD + ∠FBD = 180°      (∵ ∠CBD & ∠FBD form a linear pair )

⇒ ∠FBD = 180° - 100° = 80°

Also,

∠FBD = ∠EFB       (∵ Alternative Interior Angles are equal )

⇒ x = 80°

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