Answer :
Answer:
See below.
Step-by-step explanation:
We are asked to find the measure of ∠CEB.
We already know that the 3 angles combined have a total sum of 163°.
Let's set the 3 angles equal to 163°.
[tex]x-10+4x +2x+5=163[/tex]
Now, we should Combine Like Terms.
What is Combining Like Terms?
Combining Like Terms is adding, or subtracting together 2 or more numbers or variables that are alike.
For example, if we were given the expression;
[tex]5x + 3 - 2x + 9[/tex]
We should combine 5x and 2x, 3 and 9 since they are like terms.
For our equation;
[tex]x-10+4x +2x+5=163[/tex]
We should combine x, 4x, and 2x. We also should combine -10, 5, and 163.
Afterwards, we should have:
[tex]7x=168[/tex]
Simplify:
[tex]x= 24[/tex]
Substitute 24 within the value of x in the given expression for ∠CEB.
Substitute:
[tex]-10 + 4(24) = 86[/tex]
The measure of ∠CEB = 86°
