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23 votes
23 votes
Given that measure angle AEB equals 4x+1 and measure angle CED equals 3x, determine the missing measures.

User Trent Bartlem
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2 Answers

19 votes
19 votes
  • <AEB=<CED


\\ \rm{:}\dashrightarrow 4x+1=3x


\\ \rm{:}\dashrightarrow 4x-3x=1


\\ \rm{:}\dashrightarrow x=1

Now


\\ \rm{:}\dashrightarrow 3x=3(1)=3


\\ \rm{:}\dashrightarrow 4x+1=4(1)+1=5

User Mattek
by
3.2k points
11 votes
11 votes

Answer:

AEB = -3

CED = -3

Explanation:

We can make an equation and solve for x.

4x + 1 = 3x

~Subtract 1 to both sides

4x = 3x - 1

~Subtract 3x to both sides

x = -1

Now we can substitute that value of x into both angles.

4(-1) + 1 = -4 + 1 = -3

3(-1) = -3

Best of Luck!

User Demarcus
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2.4k points