Question

the diagram shows a triangle.
what is the value of c?
write your answer as an integer or as a decimal rounded to the nearest tenth.
c = \square^\circ

Explanation:

Step1: Sum angles to 180°

$(2c-49)+(4c-38)+(2c-43)=180$

Step2: Combine like terms

$8c - 130 = 180$

Step3: Isolate variable term

$8c = 180 + 130$
$8c = 310$

Step4: Solve for c

$c = \frac{310}{8}$

Answer:

$38.8$