In a triangle, if one angle is 90 degrees, what can be inferred about the other

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Question: In a triangle, if one angle is 90 degrees, what can be inferred about the other two angles?

Options:

Correct Answer: They are both acute angles.

Solution:

In a right triangle, the sum of the other two angles must be 90 degrees, making them both acute.

In a triangle, if one angle is 90 degrees, what can be inferred about the other two angles?

In a triangle, if one angle is 90 degrees, what can be inferred about the other two angles?

Step 1: Understand that a triangle has three angles.
Step 2: Know that the total sum of all angles in a triangle is always 180 degrees.
Step 3: If one angle is 90 degrees, this angle is called a right angle.
Step 4: Subtract the right angle from the total sum: 180 degrees - 90 degrees = 90 degrees.
Step 5: This means the sum of the other two angles must be 90 degrees.
Step 6: Since both angles must add up to 90 degrees and cannot be negative, both angles are less than 90 degrees.
Step 7: Therefore, the other two angles are acute angles (less than 90 degrees).

Triangle Angle Sum Theorem – 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 be acute.