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

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If a triangle has angles measuring 30° and 60°, what is the measure of the third angle?

  1. 90°

  2. 60°

  3. 45°

  4. 30°

The correct answer is: 90°

In any triangle, the sum of the interior angles always equals 180 degrees. Given that two angles of the triangle measure 30 degrees and 60 degrees, you can find the third angle by subtracting the sum of the known angles from 180 degrees. First, add the measures of the two known angles: 30° + 60° = 90°. Next, subtract this sum from 180° to find the third angle: 180° - 90° = 90°. Thus, the third angle in the triangle measures 90 degrees. This correctly follows the property of triangles regarding angle sums, confirming that the answer is indeed the measure of the third angle in the triangle.