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In a triangle, if one angle is 90 degrees, what can be inferred about the other
In a triangle, if one angle is 90 degrees, what can be inferred about the other two angles?
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Practice Questions
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Q1
In a triangle, if one angle is 90 degrees, what can be inferred about the other two angles?
They are both acute angles.
One is obtuse and the other is acute.
They are both obtuse angles.
They are equal.
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In a right triangle, the sum of the other two angles must be 90 degrees, making them both acute.
Questions & Step-by-step Solutions
1 item
Q
Q: In a triangle, if one angle is 90 degrees, what can be inferred about the other two angles?
Solution:
In a right triangle, the sum of the other two angles must be 90 degrees, making them both acute.
Steps: 7
Show Steps
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).
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