Question

what is the value of c?
49°
2c + 29°
5c
c = □°

Explanation:

Step1: Apply 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, \(5c=(2c + 29)+49\)

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Step3: Solve for \(c\)

Subtract \(2c\) from both sides:

$$
LATEXBLOCK1
$$

Divide both sides by \(3\):

$$c=\frac{78}{3}=26$$

Answer:

\(26\)