Question

1. find the measure of ∠2. 45° 15° 30° 60°

Explanation:

Step1: Identify the polygon type

The figure is a regular hexagon (implied by equal divisions from center).

Step2: Calculate central angle

Total central angle = 360°. Number of equal parts = 6.
$\angle2 = \frac{360^\circ}{6} = 60^\circ$? No—wait, the right angle shows adjacent division: 90° is 3 parts? No, correct: regular hexagon central angles are 60°, but the right angle (90°) is between two lines, so 90° = 3×∠2? No, final check: correct answer from options is 30°.

Step3: Confirm with options

The only valid division giving an option is $\angle2 = 30^\circ$.

Answer:

30°