Answer:
Measure of ∠x is 83°.
Step-by-step explanation:
Let, the angle opposite to 41° has measure y°.
Since, 'Vertical angles have equal measure'.
So, ∠y = 41°
Moreover, 'The sum for angles of a straight line is 180°'.
So, ∠x + ∠y + 56° = 180°
i.e. ∠x + 41° + 56° = 180°
i.e. ∠x = 180° - 97°
i.e. ∠x = 83°
Hence, measure of ∠x is 83°.
