Question

angles sum to
$m\angle a + m\angle b + m\angle c = 180^{\circ}$
sing angles. triangles may not be drawn to scale.
2.

Explanation:

Step1: Use the triangle angle - sum formula

$$m\angle A + m\angle B + m\angle C=180^{\circ}$$
Let \(m\angle A = 74^{\circ}\), \(m\angle B = 39^{\circ}\), and \(m\angle C=x^{\circ}\).

Step2: Substitute the values into the formula

$$74 + 39+x=180$$

Step3: Simplify the left - hand side

$$113+x=180$$

Step4: Solve for \(x\)

Subtract 113 from both sides:
$$x = 180 - 113$$
$$x=67$$

Answer:

\(x = 67\)