 Hello and welcome to the session. In this session we discuss the following question. It says find the measure of an angle if six times its complement is ten degree less than two times its supplement. Let's move on to the solution now. We need to find the measure of an angle. So we take let the measure of the required angle be x degrees then the measure of its complement would be equal to 90 minus x degrees and the measure supplement is equal to 180 minus x degrees. Then according to the question we have times its complement that is 6 into 90 minus x is 10 degree less than two times its supplement. So 6 into 90 minus x would be equal to 2 into 180 minus x that is 2 times its supplement minus 10 degrees. This gives us 540 minus 6x is equal to 360 minus 2x minus 10. This gives us minus 6x plus 2x is equal to 350 minus 540. That is we have minus 4x is equal to minus 190. That is we have 4x is equal to 190. From here we get the value of x by dividing both sides by 4. So we get x is equal to 190 by 4 and just gives us x equal to 47.5 degrees. Thus we get the measure of the required angle 47.5 degrees. So 47.5 degrees is our final answer. This completes the session. Hope you have understood the solutions for this question.