Question

what is the value of c?

c = \boxed{\circ}

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Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles. So:
$$c + 39^\circ = c + (c + 3^\circ)$$

Step2: Simplify the equation

Expand and combine like terms:
$$c + 39^\circ = 2c + 3^\circ$$

Step3: Solve for $c$

Subtract $c$ and $3^\circ$ from both sides:
$$39^\circ - 3^\circ = 2c - c$$
$$36^\circ = c$$

Answer:

$36$