document.write( "Question 243948: The measure of the largest angle of a triangle is twice the measure of the smallest angle and 20 more than the measure of the third angle. find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #178604 by richwmiller(17219)\"\" \"About 
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The measure of the largest angle of a triangle is twice the measure of the smallest angle and 20 more than the measure of the third angle. find the measure of each angle.
\n" ); document.write( "answer:
\n" ); document.write( "plan: remember the angles of a triangle add up to 180 degrees.
\n" ); document.write( "let a= first angle (largest)
\n" ); document.write( "b=second angle (smallest)
\n" ); document.write( "c=third angle
\n" ); document.write( "a=2*b
\n" ); document.write( "solve for b in terms of a
\n" ); document.write( "b=1/2a
\n" ); document.write( "a=20+c
\n" ); document.write( "solve for c in terms of a
\n" ); document.write( "c=a-20
\n" ); document.write( "a+b+c=180
\n" ); document.write( "substitute
\n" ); document.write( "a+(1/2a)+(a-20)=180
\n" ); document.write( "2.5a-20=180
\n" ); document.write( "2.5a=200
\n" ); document.write( "multiply by 10
\n" ); document.write( "25*a=2000\r
\n" ); document.write( "\n" ); document.write( "factor 2000 for easier division
\n" ); document.write( "2000=100*20
\n" ); document.write( "2000=(25*4)*20\r
\n" ); document.write( "\n" ); document.write( "25*a=2000
\n" ); document.write( "25*a= (25*4)*20
\n" ); document.write( "divide by 25
\n" ); document.write( "a=80 degrees
\n" ); document.write( "b=40 degrees (1/2 a)
\n" ); document.write( "c=60 degrees (a-20)
\n" ); document.write( "check
\n" ); document.write( "80+40+60=180\r
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