Each list shows the interior angle measures of a quadrilateral. Which set of measures describes a quadrilateral that cannot be inscribed in a circle?. . 69°, 103°, 111°, 77°. . 52°, 64°, 128°, 116°. . 42°, 64°, 118°, 136°. . 100°, 72°, 80°, 108°. .

The list shows the interior angles of a quadrilateral inscribed in a circle. In this case, all have the sum of 360 which is the total sum of interior angles of a quadrilateral. The set that does not follow is C. since the pair of angles are not supplementary to each other.

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akposevictor akposevictor · Answer 2 · 2022-06-01T17:06:43+02:00

The set of measures that will form a quadrilateral which cannot be inscribed in a circle is: C. 42°, 64°, 118°, 136°.

What are the Interior Angles of an Inscribed Quadrilateral?

In an inscribed quadrilateral, all the interior angles sum up to 360 degrees, and its opposite angles are supplementary (equals 180 degrees).

All set of pairs given sum up to 360 degrees. However, although the third pair of angles (42°, 64°, 118°, 136°) sum up to 360 degrees, none of the set of angles in that pair are supplementary.

Thus, the set of measures that form a quadrilateral that cannot be inscribed in a circle is: C. 42°, 64°, 118°, 136°.

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