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In a certain triangle, the second angle is 30degrees wider

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In a certain triangle, the second angle is 30degrees wider than the first angle, and the third is three times the size of the first angle. Find the measures of all three angles.
Submitted: 5 years ago.
Category: General
Expert:  Scott replied 5 years ago.

Hi there! (again, I can't move this to the math category, since the system is down tonight)

 

Triangle angles add up to 180.

Call the first angle "x".

 

The second angle is then x+30.

The third angle is then 3x.

 

The sum of those is 180:

x + x + 30 + 3x = 180

 

Combine terms:

5x + 30 = 180

 

Subtract 30:

5x = 150


Divide by 5:

x = 30

 

So the angles are: 30, 30+30, and 3*30:

30, 60, 90

 

Let me know if you have any questions,

Scott

Scott, MIT Graduate
Category: General
Satisfied Customers: 17710
Experience: MIT Graduate, United States Traveler, Information Finder
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