laniahnakai laniahnakai
  • 19-08-2022
  • Mathematics
contestada

What is the measure of Zx?
Angles are not necessarily drawn to scale.
B
D
F
42°
109⁰
A
20
C
E
»

What is the measure of Zx Angles are not necessarily drawn to scale B D F 42 109 A 20 C E class=

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devishri1977
devishri1977 devishri1977
  • 19-08-2022

Answer:

x = 29°

Step-by-step explanation:

Using angle sum property of triangle, we need to find ∠BCA.

In ΔBCA,

  42° + 109° + ∠BCA = 180°

            151   + ∠BCA = 180

                       ∠BCA = 180 - 151

                       ∠BCA = 29°

BC and DE are parallel lines and CF is transversal.

x = ∠BCA    {Alternate interior angles are equal}

 [tex]\sf \boxed{x = 29^\circ}[/tex]

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