Question

a triangle has interior angle measures of 67°, v, and 30°. what is the value of v? v = □°

Explanation:

Step1: Recall the sum of interior angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(67^{\circ}+v + 30^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side of the equation

First, add \(67^{\circ}\) and \(30^{\circ}\): \(67 + 30=97\), so the equation becomes \(v+97^{\circ}=180^{\circ}\).

Step3: Solve for \(v\)

Subtract \(97^{\circ}\) from both sides of the equation: \(v=180^{\circ}-97^{\circ}\).
\(v = 83^{\circ}\)

Answer:

\(83\)