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velikii [3]
2 years ago
13

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

Mathematics
2 answers:
ira [324]2 years ago
7 0

Answer:

x = 80°

Step-by-step explanation:

<u><em>GIVEN</em></u><em> :-</em>

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

<u><em>TO FIND</em></u><em> :-</em>

  • The measure of x°

<u><em>PROCEDURE</em></u><em> :-</em>

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

⇒ ∠FBD = 180° - 100° = 80°

Also,

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

⇒ x = 80°

Alex777 [14]2 years ago
6 0

Answer:

angle B=100 degrees

vertically opposite angle

angle B +x= 180 degree

100-180=x

80 degree =x

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