Answer: DEb = 26°
Step-by-step explanation:
Given information
CEF = 7x + 21
FEB = 10x - 3
Given expression deducted from the definition of the bisector
FEB = CEF
Substitute values into the expression
10x - 3 = 7x + 21
Subtract 7x on both sides
10x - 3 - 7x = 7x + 21 - 7x
3x - 3 = 21
Add 3 on both sides
3x - 3 + 3 = 21 + 3
3x = 24
Divide 3 on both sides
3x / 3 = 24 / 3
x = 8
Find the sum of the angle of CEF and FEB
7x + 21 + 10x - 3
=7 (8) + 21 + 10 (8) - 3
=56 + 21 + 80 - 3
=77 + 80 - 3
=157 - 3
=154
Subtract 154 from the straight angle
DEB = 180 - 154
[tex]\boxed{DEB = 26}[/tex]
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