8jqiwifege 8jqiwifege

15-06-2021
Mathematics

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AB and CF are parallel find x
Show CLEARLY how you got your answers with reasons

AB and CF are parallel find x Show CLEARLY how you got your answers with reasons class=

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jimrgrant1 jimrgrant1

15-06-2021

Answer:

x = 152°

Step-by-step explanation:

∠ BDE = ∠ ABD = 76° ( alternate angles )

Since DE = BE then Δ BDE is isosceles with base angles congruent

∠ DBE = ∠ BDE = 76°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, then

x = 76° + 76° = 152°

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