Respuesta :

ItzTds

Answer:

x = 110°

Step-by-step explanation:

It is given that,

→ AB || EF

→ <ABC = <CEF

→ <CEF = <DEF

Then the value of <DEF will be,

→ <DEF = 70°

Now according to Exterior angle property of a triangle the value of x will be,

→ x = <DEF + <EFD

→ x = 70 + 40

→ [ x = 110° ]

Hence, the value of x is 110°.

Answer:

x = 110°

Given:

AB||EF means the sides are parallel and the angle is same in both.

  • [tex]\triangle ABC = \triangle FED[/tex]

Find the missing angle inside the triangle:

= 180° - (40° + 70°)

= 180° - 110°

= 70°

Now the missing angle and x sum ups to 180° on a straight line:

  • x + 70° = 180°
  • x = 180° - 70°
  • x = 110°
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