<PRE><B>Question 61683</B>
THE SECOND ANGLE OF A TRIANGLE IS TWO TIMES AS LARGE AS THE FIRST.THE THIRD ANGLE IS 10 DEGREES MORE THAN THE SECOND ANGLE. FIND THE MEASURE OF THE FIRST ANGLE.
Let the first angle be: x
Then the second angle is: 2x
Then the third angle is: 2x+10
Angles of triangles add to = 180
:
1st+2nd+3rd=180
(x)+(2x)+(2x+10)=180
5x+10=180
5x+10-10=180-10
5x=170
5x/5=170/5
x=34
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The 1st angle is: x=34 degrees.
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For fun find out the other angles too.
2nd angle: 2x=2(34)=68 degrees
3rd angle: 2x+10=2(34)+10=78 degrees.
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Sanity Check, if you add all three angles do you get 180?
34+68+78=180 yes!!!
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Happy Calculating!!!</PRE>