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

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Master the Certify Teacher EC-6 (391) Mathematics Test. Use flashcards and multiple choice questions with explanations. Boost your confidence and excel in your exam!

Multiple Choice

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

Explanation:
All three interior angles of a triangle add up to 180 degrees. Here the two given angles sum to 30° + 60° = 90°. The remaining angle must make the total 180°, so it is 180° − 90° = 90°. That’s why the third angle is a right angle, 90°. The other numbers wouldn’t bring the total to 180°, so they can’t be the third angle.

All three interior angles of a triangle add up to 180 degrees. Here the two given angles sum to 30° + 60° = 90°. The remaining angle must make the total 180°, so it is 180° − 90° = 90°. That’s why the third angle is a right angle, 90°. The other numbers wouldn’t bring the total to 180°, so they can’t be the third angle.

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