California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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What is the sum of the internal angles in a triangle?

360°
180°
90°
270°

The correct answer is: 180°

The sum of the internal angles in a triangle is 180°. This is a fundamental property in geometry that applies to all triangles, regardless of their shape or size. When you take any triangle and measure its three internal angles (the angles that are formed inside the triangle), you'll find that when you add them together, the total will always equal 180°. This can be demonstrated using various methods, such as drawing a perpendicular line from one vertex to the opposite side, creating two right triangles. The angles in a triangle are influenced by the fact that the angles in any polygon can be determined using the formula (n - 2) * 180°, where n is the number of sides. For a triangle, n is 3, leading to (3 - 2) * 180° = 180°. Understanding this concept is crucial, as it lays the groundwork for various other concepts in geometry, including the relationships between angles and the properties of polygons.