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

EB bisects ∠RED. Find the measure of ∠BED if ∠REB = 5x – 3 and ∠RED = 8x + 16-example-1
User JustBoo
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1 Answer

12 votes
12 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 Limp
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