The contrapositive of the statement will be : if it is not obtuse, then an angle does not measure greater than 90° .
We need to know about conditional and contrapositive statement to solve this problem.
A conditional statement takes the form "If p, then q" where p is the hypothesis while q is the conclusion. So, here in this problem p is 'an angle measures greater than 90° and q is it is obtuse.
The Contrapositive of a Conditional Statement is obtained by supposing that you have the conditional statement p→ q. Now, we first find the inverse of the given conditional statement then swap the roles of hypothesis (p) and conclusion (q) . Therefore, the contrapositive of the conditional statement p→ q is ~q → ~p.
Thus, contrapositive of the statement : If an angle measures greater than 90°, then it is obtuse will be if it is not obtuse, then an angle does not measure greater than 90° .
Find more on contrapositive statements at : brainly.com/question/6239775
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