Question

2.) which is the contrapositive statement for the conditional statement? if the measure of an angle is not between 90 - 180, then it is not obtuse. the measure of an angle is between 90 - 180, if and only if, it is an obtuse angle. if the angle is not obtuse, then its measure is not between 90 - 180. if an angle is obtuse then its measure is between 90 - 180. 3.) which is the inverse statement for the conditional statement? the measure of an angle is between 90 - 180, if and only if, it is an obtuse angle. if the measure of an angle is not between 90 - 180, then it is not obtuse. if an angle is obtuse then its measure is between 90 - 180.

Explanation:

For a conditional statement "If p, then q", the contrapositive is "If not q, then not p" and the inverse is "If not p, then not q". Here, the original conditional statement is likely "If an angle is obtuse, then its measure is between 90 - 180" (p: an angle is obtuse, q: its measure is between 90 - 180).
For the contrapositive, we swap and negate p and q. For the inverse, we just negate p and q.

Answer:

1. C. If the angle is not obtuse, then it's measure is not between 90 - 180.
2. B. If the measure of an angle is not between 90 - 180, then it is not obtuse.