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Which angle in a right triangle has the largest measure? How do you know? What does this tell you about the other two angles?

User Badgerspot
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Explanation:

A triangle has 3 angles.

The sum of the measures of the three angles is 180°.

A right triangle has one right angle.

A right angle measures 90°.

What total number of degrees is left for the other two angles?

180° - 90° = 90°

The two other angles of a right triangle have measures that add up to 90°.

That means each one of them must measure less than 90°.

Since the right angle measures 90°, and each of the other 2 angles measures less than 90°, the right angle has the greatest measure. This means the other two angles are acute angles.

User Ravindhiran
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