Question

1. choose the best answer. diagram with angles labeled 30°, 90°, 60°, 150°, 30° which angle is obtuse? options: ∠3, ∠4, ∠5, ∠1

Explanation:

Step1: Recall obtuse angle definition

An obtuse angle is greater than \(90^\circ\) and less than \(180^\circ\).

Step2: Analyze each angle

• \(\angle 3\): It's a right angle, \(90^\circ\) (not obtuse).
• \(\angle 4\): Given as \(150^\circ\), which is between \(90^\circ\) and \(180^\circ\) (obtuse).
• \(\angle 5\): \(30^\circ\) (acute, less than \(90^\circ\)).
• \(\angle 1\): \(60^\circ\) (acute, less than \(90^\circ\)).

Answer:

\(\boldsymbol{\angle 4}\) (or in the option format: B. \(\angle 4\) assuming the options are ordered as given with \(\angle 3\) first, \(\angle 4\) second, etc.)