Question

use the given figure to answer the question below.
ray \\( \overline { o b } \\) divides \\( \angle c o a \\) into two angles of what measure?
\\( 35 ^ { \circ } \\)
\\( 40 ^ { \circ } \\)
\\( 20 ^ { \circ } \\)
\\( 30 ^ { \circ } \\)

Explanation:

Step1: Find the measure of ∠COA

From the figure, ∠COA = 80° - 40° = 40°.

Step2: Calculate the measure of each angle after division

Since ray \(\overrightarrow{OB}\) divides ∠COA into two equal angles (assuming it is a bisector as per the problem context of "divides into two angles" in such a figure - type problem), each angle's measure is \(\frac{40°}{2}=20°\).

Answer:

20°