Question

fill in the blank with an appropriate word.
an angle whose measure is greater than 90° but less than 180° is called a(n) ______ angle.

an angle whose measure is greater than 90° but less than 180° is called a(n) 　　 angle.

Explanation:

Step1: Recall angle definitions

In Geometry (subfield of Mathematics), angles are classified by their measures. An acute angle is less than \(90^\circ\), a right angle is \(90^\circ\), and an obtuse angle is greater than \(90^\circ\) but less than \(180^\circ\).

Step2: Match the given range

The problem states an angle greater than \(90^\circ\) (wait, the problem says "greater than \(80^\circ\)"? Wait, likely a typo, should be greater than \(90^\circ\) (since \(80^\circ\) is acute). Assuming it's a typo and the intended range is greater than \(90^\circ\) and less than \(180^\circ\), the angle is obtuse. If we take the given \(80^\circ\) (but \(80^\circ\) is acute, so maybe a typo in the problem, but standardly, obtuse is \(>90^\circ\) and \(<180^\circ\)). So the correct term is "obtuse".

Answer:

obtuse