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Please help! I can't figure this out

Please help! I can't figure this out-example-1
User Alokj
by
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2 Answers

7 votes
AC=10
Angle 2=50 degree
User Dardar
by
8.1k points
4 votes

Answer:

see explanation

Explanation:

(1)

CD = CE - DE = 8 - 2 = 6

CB = CD = 6 ( given as congruent ) , thus

AC = AB + CB = 4 + 6 = 10

(2)

∠ 2 + ∠ BCD + ∠ DCF = 180° ( sum of angles on a straight line )

∠ 2 + 60° + 70° = 180°

∠ 2 + 130° = 180° ( subtract 130° from both sides )

∠ 2 = 50°

User Reda Maachi
by
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