Which angle is greatest?
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Which angle is greatest?
In drawing A, we can see that the angle is more closed:
While in drawing B, the angle is more open:
In other words, in diagram (a) the angle is more acute, while in diagram (b) the angle is more obtuse.
Remember that the more obtuse an angle is, the larger it is.
Therefore, the larger of the two angles appears in diagram (b).
Indicates which angle is greater
Look at the opening between the two rays! The wider the opening, the larger the angle. Think of it like opening a book - the more you open it, the bigger the angle becomes.
No! The angle size depends only on how much the rays are rotated apart from each other. You could draw the lines longer or shorter, but the angle would stay exactly the same size.
An acute angle is smaller than 90° (like a slice of pizza), while an obtuse angle is larger than 90° (like opening a book wide). Obtuse angles are always bigger than acute angles.
Yes! Sometimes angles can look very similar, especially when they're close in size. That's why mathematicians use protractors to measure angles precisely when visual comparison isn't enough.
Try imagining yourself standing at the vertex (corner) of each angle and looking along one ray, then turning to face the other ray. The angle where you turn more is the larger angle!
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