 Hello and welcome to the session I am Deepika here. Let's discuss the question. In the given figure, the arms of two angles are parallel. If angle A, B, C is equal to 70 degree, then find part 1, angle DGC, part 2, angle DEF. Now we know that one transversal cuts two parallel lines. Number one, each pair of corresponding angles are equal, alternate interior angles on the same side of the transversal are supplementary. So this is a key idea behind our question, the idea to solve the above question. So let's start the solution. We have given that in figure, B, C is a transversal which cuts two parallel lines, A, B, and D. We see that angle A, B, C and angle DGC form a pair of corresponding angles. Corresponding angles are equal when two lines are parallel, therefore angle A, B, C because they are corresponding angles. But angle A, B, C is given 70 degree, therefore equal to 70 degree because angle A, B, C is equal to 70 degree. Hence the answer for this part is angle DGC is equal to 70 degree. Let's move to the part 2. Again DE is a transversal which cuts two parallel lines, B, C and DGC and angle DEF form a pair of corresponding angles and we know that corresponding angles are equal when two lines are parallel. Therefore, angle DGC is equal to angle DEF in part 1, that angle DGC is equal to 70 degree. Therefore, angle DEF equal to 70 degree because angle DGC is equal to 70 degree. Hence the answer for this part is angle DEF is equal to 70 degree. I hope the solution is clear to you. Bye and take care.