what is the value of c? c = \boxed{}

Question

Accepted Answer

# Explanation:
## Step1: Use the exterior angle theorem
The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $y + 24=(y - 38)+(y - 43)$.
## Step2: Solve the equation for $y$
$$
\begin{align*}
y+24&=(y - 38)+(y - 43)\
y+24&=y-38+y - 43\
y+24&=2y-81\
24 + 81&=2y-y\
y&=105
\end{align*}
$$
## Step3: Find the value of $c$
Substitute $y = 105$ into the expression for $c$ (which is $y + 24$). So, $c=y + 24$.
$$c=105+24$$

# Answer:
$129$

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QUESTION IMAGE

Question

Explanation:

Step1: Use the exterior angle theorem

Step2: Solve the equation for \(y\)

Step3: Find the value of \(c\)

Answer: