Question

use the interactive protractor to determine the measure of the angle. what is ( mangle jhg )?
( 70^circ )
( 75^circ )
( 110^circ )
( 115^circ )

Explanation:

Step1: Align protractor with angle

Place the protractor's center at vertex \( H \), and align one ray (e.g., \( HJ \)) with the protractor's baseline.

Step2: Read the angle

The other ray \( HG \) intersects the protractor. From the diagram, the angle \( \angle JHG \) measures \( 110^\circ \) (correcting the previous wrong mark; the protractor's scale and ray positions show the angle between the two rays is \( 110^\circ \) when properly read, as the smaller angle or the obtuse one? Wait, no—wait, the protractor's markings: if we look at the angle between \( HJ \) and \( HG \), when we align \( HJ \) with the left side, the \( HG \) ray would be at \( 110^\circ \) from the baseline (since the protractor has 0 - 180, and the angle between the two rays is \( 110^\circ \) as the correct measurement, not 115. Wait, no, maybe I misread. Wait, the options: 70, 75, 110, 115. Wait, let's re - evaluate. The angle at \( H \): when using the protractor, the two rays \( HJ \) and \( HG \). Let's imagine the protractor: the baseline is horizontal. \( HJ \) is going up - left, \( HG \) up - right. The angle between them: if we measure from \( HJ \) to \( HG \), the protractor's scale: the inner or outer? Wait, the protractor in the diagram—let's see the numbers. The protractor has 0 on the right, 180 on the left. So when we place \( H \) at the center, \( HJ \) is along a line that, when we look at the protractor, the angle between \( HJ \) and \( HG \): let's count the degrees. From \( HJ \) (left - up) to \( HG \) (right - up), the angle between them. If we use the outer scale (since the baseline is at the bottom, 0 on right, 180 on left), then the angle is \( 110^\circ \). Wait, but the previous mark was 115, which was wrong. So the correct measure is \( 110^\circ \).

Answer:

\( 110^\circ \) (the option is "110°")