Question

what is the value of n? (with an image of angles: n, 101.7°, and 47° around a point)

Explanation:

Step1: Recall straight - line angle sum

A straight line forms a \(180^{\circ}\) angle. So the sum of \(n\), \(101.7^{\circ}\), and \(47^{\circ}\) should be \(180^{\circ}\).
The equation is \(n + 101.7^{\circ}+ 47^{\circ}=180^{\circ}\).

Step2: Solve for \(n\)

First, add \(101.7^{\circ}\) and \(47^{\circ}\): \(101.7^{\circ}+ 47^{\circ}=148.7^{\circ}\).
Then, subtract this sum from \(180^{\circ}\) to find \(n\): \(n = 180^{\circ}- 148.7^{\circ}\).
\(n = 31.3^{\circ}\)

Answer:

\(31.3\)