Question

1. find the measure of angle abc. you do: find m∠zbx.

Explanation:

Step1: Identify the protractor readings for Z and X

From the protractor, the measure for ray BZ is 0° (or 180°, but we use the smaller scale) and for ray BX, we look at the scale. Wait, actually, looking at the protractor, the angle for Z: let's check the scale. The outer scale (or inner) – let's see, the ray BZ is at 0° (the base line), and ray BX: looking at the numbers, the angle for BX: let's see the markings. Wait, the protractor has markings, and the angle between BZ and BX: let's find the degrees. Let's assume the protractor's scale: the ray BZ is at 0° (the horizontal line), and ray BX: looking at the numbers, maybe 30°? Wait, no, let's re-examine. Wait, the problem is to find m∠ZBX. Let's see the protractor: the ray BZ is at 0° (the bottom line), and ray BX: looking at the scale, the angle between Z and X. Let's check the numbers: the ray BX is at 30°? Wait, no, maybe the other way. Wait, the protractor has two scales: inner and outer. Let's see, the ray BZ is along the 0° (or 180°) line, and ray BX: let's see the angle. Wait, maybe the measure for BZ is 0° and BX is 30°? Wait, no, let's look at the diagram again. Wait, the ray BZ is at the 0° mark (the horizontal line), and ray BX: looking at the scale, the angle between Z and X. Let's see the numbers: the ray BX is at 30°? Wait, maybe the correct way is to find the difference between the two rays. Let's say the measure for BZ is 0° (the base) and BX is 30°, so the angle ∠ZBX is 30°? Wait, no, maybe I misread. Wait, the protractor: the ray BZ is at 0° (the bottom), and ray BX: looking at the scale, the angle between Z and X. Let's check the numbers: the ray BX is at 30°? Wait, maybe the answer is 30 degrees. Wait, let's do it properly.

Wait, the protractor: the center is at B, the base line is BZ (along the 0°). Then ray BX: looking at the scale, the angle from BZ to BX. Let's see the markings: the numbers on the protractor. Let's assume that the ray BX is at 30° (since the scale has 0,10,20,30,...). So the measure of ∠ZBX is 30 degrees.

Step2: Confirm the angle measurement

Using the protractor, the angle between BZ (along 0°) and BX is the difference in their protractor readings. Since BZ is at 0° and BX is at 30°, the angle m∠ZBX is 30°.

Answer:

30°