SOLUTION: The measures of two angles are in the ratio 5:3. The measure of the larger angle is 30 greater then half the difference of the angles. Find the measure of each angle. Find both an

Algebra ->  Angles -> SOLUTION: The measures of two angles are in the ratio 5:3. The measure of the larger angle is 30 greater then half the difference of the angles. Find the measure of each angle. Find both an      Log On


   

Question 663821: The measures of two angles are in the ratio 5:3. The measure of the larger angle is 30 greater then half the difference of the angles. Find the measure of each angle. Find both answers.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

 The measures of two angles highlight%28x%29and highlight%28y%29are in the ratio 5:3. 5%2F3=x%2Fy 0r y+=+%283%2F5%29x

The measure of the larger anglehighlight%28x%29 is 30 greater then half the difference of the angles.

Question states*** 

  x+=+30+%2B+%28x-y%29%2F2

x+=+30+%2B+%28x-%283%2F5%29x%29%2F2+=+30+%2B%282%2F5%29x%2F2+=+30+%2B+2x%2F10

  x+=+30+%2B+2x%2F10

0r

    10x = 300 + 2x

     8x = 300

      x = 37.5  y = 22.5

and...

5%2F3+=+37.5%2F22.5+=+5%2A%287.3%29%2F3%2A%287.3%29