Question

what is the value of c? 84 78 64 none of these

Explanation:

Step1: Use the exterior angle property

The exterior angle property states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Here, \(c\) is an exterior angle of the triangle. But if we assume the triangle has an interior angle of \(106^{\circ}\), and using the linear - pair property (since the exterior angle \(c\) and the interior angle of \(106^{\circ}\) form a linear pair).
The formula for a linear pair is \(c + 106^{\circ}=180^{\circ}\) (because the sum of angles in a linear pair is \(180^{\circ}\)).

Step2: Solve for \(c\)

Subtract \(106^{\circ}\) from both sides of the equation \(c + 106^{\circ}=180^{\circ}\).
\(c=180^{\circ}- 106^{\circ}\)
\(c = 74^{\circ}\)

Since \(74^{\circ}\) is not among the options \(84\), \(78\), \(64\)

Answer:

None of these