halloweenskyqueen halloweenskyqueen

22-09-2021
Mathematics

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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 class=

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Jamiyag05 Jamiyag05

22-09-2021

Answer:
52°
Step-by-step 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°

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