Question

what is the value of v? 127 141 131 none of these

Explanation:

Step1: Find the interior angle adjacent to \( v \)

The sum of interior angles of a triangle is \( 180^{\circ} \). Let the interior angle adjacent to \( v \) be \( x \). Then \( x=180-(77 + 60)\).

$$x = 180-137=43^{\circ}$$

Step2: Use the linear - pair relationship

Since \( v \) and \( x \) form a linear pair (\(v + x=180^{\circ}\)), then \(v = 180 - x\). Substitute \(x = 43^{\circ}\) into the equation.

$$v=180 - 43=137^{\circ}$$

Answer:

None of these