From the given groups of angles which are possible group angles of a quadrilateral:
i) $60^{\circ}, 70^{\circ}, 80^{\circ}$ , and $145^{\circ}$
ii) $90^{\circ}, 90^{\circ}, 90^{\circ},$ and $90^{\circ}$

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Solution

For the first group of angles, they don't form possible angles of the quadrilateral as the sum of the angles is not $360^{\circ}$ .
As sum of the interior angles $= 60^{\circ} + 70^{\circ} + 80^{\circ} + 145^{\circ} = 355^{\circ} \neq 360^{\circ} .$ [ As the sum of the interior angles of a quadrilateral is $360^{\circ}$ ].
But for the second group of angles, they form a possible quadrilateral as the sum of interior angles $= 360^{\circ}$ .

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From the given groups of angles which are possible group angles of a quadrilateral:i) 60∘,70∘,80∘, and 145∘ii) 90∘,90∘,90∘, and 90∘

From the given groups of angles which are possible group angles of a quadrilateral:
i) $60^{\circ}, 70^{\circ}, 80^{\circ}$ , and $145^{\circ}$
ii) $90^{\circ}, 90^{\circ}, 90^{\circ},$ and $90^{\circ}$