Question

enter the value of x.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. In triangle QZB, we know two angles: ∠Q = 56° and ∠B = 82°. Let the third angle be x.

Step2: Set up the equation

We have the equation 56°+82° + x=180°.

Step3: Simplify the left - hand side

56 + 82=138, so the equation becomes 138°+x = 180°.

Step4: Solve for x

Subtract 138° from both sides of the equation: x=180° - 138° = 42°.

Answer:

42