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Multiple Choice

The sum of the interior angles of a triangle is how many degrees?

The main idea is that the interior angles of any triangle add up to a straight angle, which measures one hundred eighty degrees. Imagine a triangle and draw a line through the top vertex parallel to the base. The two base angles become corresponding angles with the interior angles at the other vertices, so all three interior angles sit along a straight line. Those three angles together fill that straight line, meaning their measures add up to one hundred eighty degrees. This works for any triangle, no matter its shape. So the sum is one hundred eighty degrees. The other numbers don’t fit this reasoning—one hundred eighty is the straight-angle total, while the others correspond to different geometric facts (like a full circle or other configurations) and aren’t the sum of a triangle’s interior angles.

The main idea is that the interior angles of any triangle add up to a straight angle, which measures one hundred eighty degrees. Imagine a triangle and draw a line through the top vertex parallel to the base. The two base angles become corresponding angles with the interior angles at the other vertices, so all three interior angles sit along a straight line. Those three angles together fill that straight line, meaning their measures add up to one hundred eighty degrees. This works for any triangle, no matter its shape. So the sum is one hundred eighty degrees. The other numbers don’t fit this reasoning—one hundred eighty is the straight-angle total, while the others correspond to different geometric facts (like a full circle or other configurations) and aren’t the sum of a triangle’s interior angles.