Question

which figure shows a circle with a 180° angle highlighted?

Explanation:

Step1: Recall the properties of a \(180^{\circ}\) angle in a circle

A \(180^{\circ}\) angle in a circle is a straight - line angle. It divides the circle into two equal semi - circles.

Step2: Analyze each figure

• The first figure: The angle is less than \(180^{\circ}\) (acute - like in terms of the sector it forms).
• The second figure: The angle is \(180^{\circ}\) as the two radii (or the lines forming the angle) are in a straight line, dividing the circle (and the concentric circles within) into two equal parts.
• The third figure: The angle is less than \(180^{\circ}\).
• The fourth figure: It does not show an angle of \(180^{\circ}\) as there is no indication of a straight - line division of the circle.

Answer:

The second figure.