Question

a) 34° b) 84° c) 70° d) 77°

Explanation:

Step1: Find exterior - adjacent angle

The angle adjacent to \(146^{\circ}\) inside the triangle is \(180 - 146=34^{\circ}\) since they are linear - pair angles.

Step2: Use angle - sum property of a triangle

The sum of interior angles of a triangle is \(180^{\circ}\). Let the unknown angle be \(x\). Then \(x + 34^{\circ}+62^{\circ}=180^{\circ}\).
So \(x=180-(34 + 62)=84^{\circ}\).

Answer:

B. \(84^{\circ}\)