SOLUTION: the measure of the second angle of a triangle is twice as great as that of the first angle. If the measure of the thrid angle is 20 degrees greater than that of the second angle,

Algebra ->  Algebra  -> Proportions -> SOLUTION: the measure of the second angle of a triangle is twice as great as that of the first angle. If the measure of the thrid angle is 20 degrees greater than that of the second angle,       Log On

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 Question 74783: the measure of the second angle of a triangle is twice as great as that of the first angle. If the measure of the thrid angle is 20 degrees greater than that of the second angle, what is measure of the third angleAnswer by ptaylor(2048)   (Show Source): You can put this solution on YOUR website! Let x=the measure of the first angle Then 2x=the measure of the second angle And (2x+20)=the measure of the third angle Now we know that all three angles must add up to 180 degrees. So: x+2x+(2x+20)=180 get rid of parens x+2x+2x+20=180 subtract 20 from both sides x+2x+2x+20-20=180-20 collect like terms 5x=160 divide both sides by 5 x=32 degrees--------------------first angle 2x+20=2(32)+20=64+20= 84 degrees third angle-----------------------ans 2x=2(32)=64 degrees ------------second angle CK 84+64+32=180 180=180 also 64 equals two times 32 and 84 equals 2 times 32 +20 Hope this helps----ptaylor