Question

if an angle is more than 90 then it is an obtuse angle. the measure of ∠a is 178. what can you logically conclude? a. ∠a is acute. b. ∠a is right. c. ∠a is obtuse. d. not enough information

Explanation:

An acute angle is less than \(90^\circ\), a right angle is exactly \(90^\circ\), and an obtuse angle is more than \(90^\circ\) but less than \(180^\circ\). We know \(\angle A\) is acute (so \(m\angle A<90^\circ\)) and \(m\angle A = 78^\circ\). Since \(78^\circ<90^\circ\), \(\angle A\) is acute.

Answer:

A. \(\angle A\) is acute.