Can someone please help me solve for this question? The members of a Native American cultural center are painting a circle of colors on their gallery floor. They start by laying out the circle and chords shown. Before they apply their paint to the design, they measure angles and lengths to check for accuracy. Answer these questions about angle measures in the painting.
The circle design is based on twelve equally spaced points placed around the circumference of the circle. As the group lays out the design, the measure of angle GAH is ____ degrees, to the nearest degree.
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I know that the circle is broken into 12 equal arcs.
GH is one of the arcs.
Since the whole circle is 360º, how many degrees is each arc?
Since GAH is an inscribed angle, it is HALF the measure of the intercepted arc (GH.) So how would I solve for this?
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I think the answer is 15, but I'm not sure.
Yes : /
Each of the 12 congruent arcs is of measure 360/12 = 30. The angle is an inscribed angle of a circle which cuts off an arc of measure 30. An inscribed angle's measure is half that of the arc it intercepts. So, the angle measure is 15.