SOLUTION: In a triangle the measure of the first angle is one-half the measure of the second angle. The third angle's measure is 20� less than the measure of the second angle. What are the m

Question 172325This question is from textbook
: In a triangle the measure of the first angle is one-half the measure of the second angle. The third angle's measure is 20� less than the measure of the second angle. What are the measures of the angles? This question is from textbook

Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!




Let 

 = first angle,
 = second angle
 = third angle

the measure of the first angle is one-half the measure of the second angle.

So

The third angle's measure is 20� less than the measure of the second angle


So 

Since 

  





Add  to both sides:



Multiply every term by 2 to clear of fractions:

















Edwin

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