SOLUTION: Problem: SLTM is a rhombus measure of angle LST=11x-24 measure of angle TSM=3x+8 find x and the measure of each of the angles above I don't understand how this can work bec

Algebra ->  Points-lines-and-rays -> SOLUTION: Problem: SLTM is a rhombus measure of angle LST=11x-24 measure of angle TSM=3x+8 find x and the measure of each of the angles above I don't understand how this can work bec      Log On


   

Question 262023: Problem:
SLTM is a rhombus
measure of angle LST=11x-24
measure of angle TSM=3x+8
find x and the measure of each of the angles above
I don't understand how this can work because these angles are on the diagonal inside the rhombus not on one of the vertices.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: if you draw the rhombus, you'll see that the angles LST and TSM are adjacent angles (ie they are next to one another). Recall that adjacent angles of any parallelogram are supplementary which means that the two angles add to 180 degrees. So add up the angles and set them equal to 180 to get %2811x-24%29%2B%283x%2B8%29=180 and solve for 'x'. Then use the solution to find the individual angles.