Question

1. choose the best answer. what type of angle is ∠abc if its measure is greater than 90° but less than 180°? image of a diagram with points a, b, f, e, and a right - angle symbol at b options: straight angle, obtuse angle, right angle, acute angle

Explanation:

To determine the type of angle \( \angle ABC \) with a measure greater than \( 90^\circ \) but less than \( 180^\circ \), we recall the definitions of different angles:

• A straight angle measures \( 180^\circ \).
• An obtuse angle is defined as an angle whose measure is greater than \( 90^\circ \) and less than \( 180^\circ \).
• A right angle measures exactly \( 90^\circ \).
• An acute angle measures less than \( 90^\circ \).

Since \( \angle ABC \) has a measure between \( 90^\circ \) and \( 180^\circ \), it fits the definition of an obtuse angle.

Answer:

obtuse angle