Step-by-step explanation:
x is the angle.
complementary angles are adding up to 90°.
supplementary angles are adding up to 180°.
so,
90 - x = (180 - x) - 40 = 140 - x
0 = 50 ? no
there is something wrong here. this cannot work out, there is no solution. there cannot be a solution.
because due to the definitions, the supplementary measure of an angle must always be 90° larger than the complementary measure of the same angle. that is by default the difference in their definition.
so, if an angle is only 40° less than the supplementary angle, then it cannot be the complementary angle.
so, either there was a mistake in the question, or this is a trick question.
under the given circumstances, there is no solution possible.
