Question

what is the value of v? (diagram shows angles 61° and 37° with a straight - line - related angle configuration)

Explanation:

Step1: Identify angle sum on straight line

A straight line forms a \(180^\circ\) angle. So the sum of \(61^\circ\), \(37^\circ\), and \(v\) should be \(180^\circ\).
\[61^\circ + 37^\circ + v = 180^\circ\]

Step2: Calculate sum of known angles

First, add \(61^\circ\) and \(37^\circ\).
\[61 + 37 = 98\]
So the equation becomes \(98^\circ + v = 180^\circ\).

Step3: Solve for \(v\)

Subtract \(98^\circ\) from both sides of the equation.
\[v = 180^\circ - 98^\circ\]
\[v = 82^\circ\]

Answer:

\(82^\circ\)