In a right triangle, if one angle measures 30 degrees, what is the measure of the other non-right angle?

Prepare for the HSC Mathematics Standard 2 Exam. Practice with multiple choice questions and flashcards, with explanations and tips provided for study success. Ace your exams with confidence!

Multiple Choice

In a right triangle, if one angle measures 30 degrees, what is the measure of the other non-right angle?

Explanation:
In a right triangle, the angles add up to 180 degrees. Since one angle is 90 degrees (the right angle), the sum of the other two angles must be 90 degrees as well. If one of the non-right angles is given as 30 degrees, we can find the measure of the other angle by subtracting 30 degrees from 90 degrees. This results in: 90 degrees - 30 degrees = 60 degrees. Thus, the measure of the other non-right angle in the triangle is 60 degrees, which is the correct answer.

In a right triangle, the angles add up to 180 degrees. Since one angle is 90 degrees (the right angle), the sum of the other two angles must be 90 degrees as well.

If one of the non-right angles is given as 30 degrees, we can find the measure of the other angle by subtracting 30 degrees from 90 degrees. This results in:

90 degrees - 30 degrees = 60 degrees.

Thus, the measure of the other non-right angle in the triangle is 60 degrees, which is the correct answer.

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