 Hello and welcome to the session. In this session we discussed the following question which says, in the given figure a b is parallel to c b and e f is parallel to g h, find the values of x, y, z and t. Let's move on to the solution now. Here we are given that a b is parallel to c b and e f is parallel to g h and we need to find the values of x, y, z and t. First consider e f is parallel to g h. So when you see that e f is parallel to g h, so x degrees would be equal to y degrees since they are the alternate interior angles now and q r are intersecting. So we have x degrees is equal to 60 degrees since they are the vertically opposite angles and so they are equal. So we have got the measure of x as 60 degrees. Now since x degrees is equal to y degrees so we have y is equal to 60 degrees till q p r and angle a p r form a linear pair that the sum of both these angles is equal to 180 degrees. Now we know the measure of the angle a p r which is 110 so we have angle q p r plus 110 degrees is equal to 180 degrees so this gives us angle q p r is equal to 70 degrees. Now we have e f is parallel to g h so this would mean that z degrees is equal to angle q p r since they are the corresponding angles and so they are equal now angle q p r is of measure 70 degrees so we get z degrees is equal to 70 degrees that is we now have z is equal to 70 degrees. We know that a b is parallel to c d that is we have z degree would be equal to t degrees since they are the alternate interior angles now z is equal to 70 degrees so we get t degrees is equal to 70 degrees that is we now have t is equal to 70 degrees. So we have got the values for x y z and t x is equal to 60 degrees y is equal to 60 degrees then is equal to 70 degrees and t is equal to 70 degrees. This completes the session hope you have understood the solution for this question.