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texaschic101

56 + 41 + x = 180
97 + x = 180
x = 180 - 97
x = 83 <==

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°.

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