Question

If Ill m, m7 = 2x and m2 = x, then what is the measure of angle 2?

a) 30°
b) 60°
c) 90°
d) 120°

Answer 1

The measure of angle 2 is 60° because it is half of angle 7, which is twice the measure of angle 2 according to the given relationship.

Step-by-step explanation:

If m7 = 2x and m2 = x, we are trying to find the measure of angle 2. Given that angle 7 is twice the measure of angle 2, we can infer that there is a proportional relationship between the angles in question. Since the options a) 30°, b) 60°, c) 90°, d) 120° are the possible measures for angle 2, the measure of angle 7 would be double any of these values.

Looking at the values, if angle 2 were 60°, which is choice b), then angle 7 would be 2 times 60°, which is 120°. No other option, when doubled, would still fall within the typical range of angles in a geometric figure (which are between 0° and 180°). Therefore, without additional context, the most logical answer under the given options and relationships is that the measure of angle 2 is 60°.