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Roman55 [17]
3 years ago
10

If EF bisects angle CEB, angle CEF=7x + 21 and angle FEB = 10x - 3, find the measure of DEB.

Mathematics
1 answer:
morpeh [17]3 years ago
8 0

Answer: DEb = 26°

Step-by-step explanation:

<u>Given information</u>

CEF = 7x + 21

FEB = 10x - 3

<u>Given expression deducted from the definition of the bisector</u>

FEB = CEF

<u>Substitute values into the expression</u>

10x - 3 = 7x + 21

<u>Subtract 7x on both sides</u>

10x - 3 - 7x = 7x + 21 - 7x

3x - 3 = 21

<u>Add 3 on both sides</u>

3x - 3 + 3 = 21 + 3

3x = 24

<u>Divide 3 on both sides</u>

3x / 3 = 24 / 3

x = 8

<u>Find the sum of the angle of CEF and FEB</u>

 7x + 21 + 10x - 3

=7 (8) + 21 + 10 (8) - 3

=56 + 21 + 80 - 3

=77 + 80 - 3

=157 - 3

=154

<u>Subtract 154 from the straight angle</u>

DEB = 180 - 154

\boxed{DEB = 26}

Hope this helps!! :)

Please let me know if you have any questions

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