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Two angles of a triangle measure 25° and 75 °. What is the measure for the third angle?

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idaberg | Student | eNoter

Posted August 15, 2011 at 12:10 AM via web

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Two angles of a triangle measure 25° and 75 °. What is the measure for the third angle?

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giorgiana1976 | College Teacher | Valedictorian

Posted August 15, 2011 at 12:12 AM (Answer #1)

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The sum of the angles of a triangle is of 180 degrees.

Let the third angle be x.

25 + 75 + x = 180

We'll isolate x to the left side moving the rest of the numbers to the right:

x = 180 - 100

x = 80

Therefore, the third angle measures 80 degrees.

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gradegrumber | Student, Undergraduate | Salutatorian

Posted August 15, 2011 at 12:57 AM (Answer #2)

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Since we know the sum of the angles of a triangle must be 180, we can determine the third angle by subtractng the two angles that you have from 180.

x = 180 - 75 - 25

x = 80

 

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