Question

what is the value of c?

c = \square^\circ

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Explanation:

Step1: Apply exterior angle theorem

The exterior angle of a triangle equals the sum of the two opposite interior angles:
$c+44^\circ = (c+13^\circ)+(c+12^\circ)$

Step2: Simplify right-hand side

Combine like terms on the right:
$c+44^\circ = 2c+25^\circ$

Step3: Isolate variable c

Subtract $c$ and $25^\circ$ from both sides:
$44^\circ -25^\circ = 2c - c$

Step4: Calculate final value

Compute the difference to find $c$:
$19^\circ = c$

Answer:

$19$