In a right triangle, if one of the non-right angles is 45 degrees, what is the m

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Question: In a right triangle, if one of the non-right angles is 45 degrees, what is the measure of the other non-right angle?

Options:

Correct Answer: 45 degrees

Solution:

In a right triangle, the sum of the angles is 180 degrees. Therefore, the other non-right angle must also be 45 degrees.

In a right triangle, if one of the non-right angles is 45 degrees, what is the measure of the other non-right angle?

In a right triangle, if one of the non-right angles is 45 degrees, what is the measure of the other non-right angle?

Step 1: Understand that a right triangle has one angle that is 90 degrees.
Step 2: Know that the total sum of all angles in any triangle is 180 degrees.
Step 3: Since one angle is 90 degrees, subtract this from 180 degrees: 180 - 90 = 90 degrees.
Step 4: In this triangle, one of the non-right angles is given as 45 degrees.
Step 5: To find the other non-right angle, subtract the 45 degrees from the 90 degrees we calculated: 90 - 45 = 45 degrees.
Step 6: Therefore, the measure of the other non-right angle is 45 degrees.

Triangle Angle Sum – The sum of the angles in any triangle is always 180 degrees.
Properties of Right Triangles – In a right triangle, one angle is 90 degrees, and the other two angles must sum to 90 degrees.