document.write( "Question 859035: Find the value of y and the measure of each angle labeled in the figure. The figure is a triangle that measures (3y+18degrees) and (y+2degrees) \n" ); document.write( "

Algebra.Com's Answer #517534 by Awesom3guy(31) $\"\"$ $\"About$

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All angles of a triangle add up to 180°.
\n" ); document.write( "You can use this knowledge to the angles and y is you knew the numerical measure of the THIRD angle. You have to tell us that too.\r
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\n" ); document.write( "\n" ); document.write( "If the third angle is shown, the equation you would have to set up is:
\n" ); document.write( "(3y+18) + (y+2) + A = 180°
\n" ); document.write( "Where A is the measure of the third angle.
\n" ); document.write( "Then you collect the like terms:
\n" ); document.write( "4y+20+A=180
\n" ); document.write( "You subtract 20 and A from 180 as they are both known numbers.
\n" ); document.write( "4y=180-20-A
\n" ); document.write( "And you divide with 4 to get the value of y.
\n" ); document.write( "y=(180-20-A)/4\r
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\n" ); document.write( "\n" ); document.write( "My only guess is that the triangle is a right one, so the third angle is 90° degrees and you didn't mention. In that case,
\n" ); document.write( "y=(180-20-90)/4 = 17.5
\n" ); document.write( "y = 17.5.\r
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\n" ); document.write( "\n" ); document.write( "And then you find each of the angles by plugging in the value for y in their expression. If y is 17.5, then e.g. the angle 3y+18degrees is
\n" ); document.write( "3*17.5 + 18 = 70.5°.\r
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\n" ); document.write( "\n" ); document.write( "Do the same for the other.
\n" ); document.write( "Either way, I hope that helps. \n" ); document.write( "

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