Question

find the measure of \\( \angle b \\) in the given figure.

Explanation:

Step1: Estimate the angle type

The angle ∠B is an obtuse angle (greater than 90° but less than 180°).

Step2: Analyze the options

Among the given options 120° is the only obtuse - angle. 60° is acute, 75° is acute, and 175° is too close to 180° and not a typical angle in basic geometry problems like this (assuming no special markings for 175°). So, by elimination and angle - type analysis, ∠B = 120°.

Answer:

120°