Question

question 5. a. 3 b. -71 c. -3 d. 71

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we have the equation \(55 + 54+(x + 74)=180\).

Step2: Simplify the left - hand side of the equation

First, add the known angles: \(55+54 + 74+x=180\), which simplifies to \(183+x=180\).

Step3: Solve for \(x\)

Subtract 183 from both sides of the equation: \(x=180 - 183=-3\).

Answer:

C. - 3