Question

If the measure of angle 2 is twice the measure of angle o, then which of the following must be true?

1) m∠p is greater than m∠o
2) m∠2 = m∠o
3) m∠p = m∠o
4) m∠p is less than m∠o

Answer 1

The only statement that must be true is 2) m∠2 = m∠o.

Based on the given information that the measure of angle 2 is twice the measure of angle o, the only statement that must be true is:

**2) m∠2 = m∠o **

This is because the measure of an angle is a specific value and cannot be "greater than" or "less than" another angle. The statement "m∠2 = m∠o" simply means that the two angles have the same measure.

The other statements are not necessarily true. For instance, the measure of angle 1 (m∠p) could be greater than, less than, or equal to the measure of angle o (m∠o). There is not enough information given to determine the relationship between the measures of angle 1 and angle o.

Therefore, the only statement that must be true is 2) m∠2 = m∠o.