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31 votes
31 votes
EB bisects ∠RED. Find the measure of ∠BED if ∠REB = 5x – 3 and ∠RED = 8x + 16.

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User IlPittiz
by
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2 Answers

17 votes
17 votes

So

  • 5x-3=1/2(8x+16)
  • 5x-3=4x+8
  • 5x-4x=8+3
  • x=11

<BED=5(11)-3=52°

User Nicolas Thery
by
3.2k points
11 votes
11 votes

Answer:

52°

Explanation:

since EB bisects ∠RED, ∠REB = ½× ∠RED.

and the equation could be :

5x-3=½(8x+16)

5x-3=4x+8

5x-4x=8+3

x = 11

so, ∠BED = ∠REB = 5x – 3 = 5(11)-3

= 55-3 = 52°

User Juan Pablo Gomez
by
2.6k points