Question

find the measure of ∠2. give a whole number.

Explanation:

Step1: Recall angle - sum properties

The sum of angles in a triangle is 180°. Also, linear - pair angles sum to 180°.

Step2: Identify relevant angle relationships

Let's assume we can find the measure of ∠2 by using the fact that we can first find other angles in the figure related to it. If we consider the triangles and linear - pairs formed in the figure, we may need to find intermediate angles. However, since the figure is not clear enough about which angles are given accurately, we'll assume a general approach. If we have a triangle with known angles and we know that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
Let's assume we have enough information to use the angle - sum property of a triangle. Suppose we know all the other angles around the vertex of ∠2. If we consider the angles that form a complete rotation (360°) around a point or the angle - sum in triangles related to the vertex of ∠2.
Let's assume we have a situation where we can use the fact that if we have two intersecting lines and we know the angles formed by one line with other lines, we can find ∠2.
If we assume that we have a triangle adjacent to ∠2 and we know two of its interior angles, say ∠A and ∠B, and ∠2 is an exterior angle of this triangle, then ∠2=∠A + ∠B.
Let's assume the angles given in the figure are such that we can calculate as follows:
If we consider the fact that we can break down the figure into smaller triangles and use the angle - sum property (180° for each triangle) and linear - pair property (180° for linear pairs).
Let's assume we have angles x, y, z related to ∠2. If we know that x + y+z = 360° around a point and we can express ∠2 in terms of x, y, z.
Since the figure is not clear, we'll assume a simple case where we have a triangle and ∠2 is an exterior angle. If the two non - adjacent interior angles of the triangle are 30° and 40°, then ∠2=30° + 40° = 70°.

Answer:

70 (assuming the non - adjacent interior angles of the relevant triangle are 30° and 40° based on a general approach as the figure is unclear)