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HyperT1676
02.12.2020 •
Mathematics
Determine whether each set of numbers can be the lengths of the sides of a triangle.
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Ответ:
1. not possible 2. triangle 3. not possible 4. not possible
Step-by-step explanation:
Ответ:
The correct answer option is 82°.
Step-by-step explanation:
We can see from the given diagram that the quadrilateral ABCD is inscribed in a circle.
Now using the property:
'Opposite angles in any quadrilateral inscribed in a circle are supplements of each other'. Which means that their measures add up to a total of 180 degrees.
Thus, ∠A + ∠C = 180°.
If ∠A = 100°, then ∠C = 180° - 98°.
Therefore, ∠C = 82°.