Question

which of these angles could measure 60°?

Explanation:

Step1: Recall angle types

An acute angle is less than \(90^{\circ}\), a right angle is \(90^{\circ}\), an obtuse angle is between \(90^{\circ}\) and \(180^{\circ}\), and a straight angle is \(180^{\circ}\). \(60^{\circ}\) is an acute angle.

Step2: Analyze the figure

Looking at the figure, \(\angle BDC\) appears to be an acute - angled. \(\angle ADC\) is a straight angle (\(180^{\circ}\)), \(\angle ADB\) is obtuse (since \(\angle ADB+\angle BDC = 180^{\circ}\) and \(\angle BDC\) is acute).

Answer:

\(\angle BDC\)