Question

what is the value of c?
3c - 16°
c + 50°
c + 20°
write your answer as an integer or as a decimal rounded to the nearest tenth.
c = °
submit

Explanation:

Step1: Apply exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles, so:
$$c + 50^\circ = (3c - 16^\circ) + (c + 20^\circ)$$

Step2: Simplify the right-hand side

Combine like terms on the right:
$$c + 50 = 4c + 4$$

Step3: Rearrange to isolate $c$

Subtract $c$ and 4 from both sides:
$$50 - 4 = 4c - c$$
$$46 = 3c$$

Step4: Solve for $c$

Divide both sides by 3:
$$c = \frac{46}{3} \approx 15.3$$

Answer:

$c = 15.3$