Question

what is the measure of this angle? m∠abc = ?°

Explanation:

Step1: Read the scale

The outer - scale of the protractor is used. The ray \(BC\) points to \(0^{\circ}\) and the ray \(BA\) points to \(250^{\circ}\).

Step2: Calculate the angle measure

The measure of \(\angle ABC\) is \(250^{\circ}- 0^{\circ}=250^{\circ}\). But since we are measuring the smaller angle (as angles in standard position for such problems usually refer to the non - reflex angle when not specified otherwise), we use the inner - scale. The inner - scale value for the ray \(BA\) is \(110^{\circ}\) (because \(360^{\circ}-250^{\circ} = 110^{\circ}\)).

Answer:

\(110\)