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1 Answer

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Answer:

1. CEF = 66 degress

2. JK = 8

GH = 16

Explanation:

Part 1

Since triangle DEF is formed by connecting midpoints of side of triangle ABC, according to midpoint theorem, the sides of triangles DEF parallel to sides os triangles ABC

so angle CEF is congruent to angle ABC = 66 degrees

Part 2

According to midpoint theorem: JK = 1/2GH

since 5x - 12 = 1/2(5x - 4)

2(5x - 12) = 5x - 4

10x - 24 = 5x - 4

10x - 5x = 24 - 4

5x = 20

x = 4

so JK = 5x - 12 = 5(4) - 12 = 8

GH = 5x - 4 = 5(4) - 4 = 16

User Kareem Nour Emam
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