Question

Question 8
The angles$x-{10}^{\circ }and{190}^{\circ }-x$ are
(a) Interior angles on the same side fo the transversal
(b) making a linear pair
(c) complementary
(d) supplementary

Answer 1

Sum of the given angles$=(x-{10}^{\circ })+({190}^{\circ }-x)=x-{10}^{\circ }+{190}^{\circ }-x=(x-x)+({190}^{\circ }-{10}^{\circ })=0+{180}^{\circ }={180}^{\circ }$
Since, the sum of given angles is ${180}^{\circ }$. Hence, they are supplementary.