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Steps: 3 Marks
Quadrilateral's name: 1 Mark
Given that:
A man runs in a particular path, in such a way that it is a quadrilateral.
Also, the opposite sides are equal and opposite angles are equal.
Also, the opposite sides are parallel.
So the given quadrilateral can either be a rectangle, parallelogram, or a square.
But the adjacent sides are not equal.
Therefore it will either be a parallelogram or a rectangle.
If all the angles of the quadrilateral are 90${}^{\circ }$, then the quadrilateral is a rectangle, otherwise, it is a parallelogram.

Answer: Option A. -> two 
:
A
If the sides of a triangles are equal , then the angle opposite to it will also be equal. Hence if two sides are equal , then the two angles opposite to the equal sides will also be equal.

Answer: Option C. -> 15∘, Acute
:
C
In one hour, minute hand covers 360°and hour hand covers 30°. When the minute hand covers 180°, hour hand covers 15°. So at 6:30, minute hand covers 180°and hour hand covers 195°. The angle included between the minute and hour hand at 6:30 is 15°.

Answer: Option C. -> all the sides are unequal in length 
:
C
In a scalene triangle, all the sides are unequal in length.

Answer: Option B. -> False
:
B
An obtuse angle is greater than 90${}^{\circ }$and lessthan 180${}^{\circ }$.If the angle is 180${}^{\circ }$, then it is called a straight angle.

Answer: Option A. -> True
:
A
A quadrilateral is a polygon with 4 sides. But, polygons may have more than 4 sides. So, all polygons need not be quadrilaterals, but all quadrilaterals are polygons.

Answer: Option C. -> 360∘−θ
:
C

From the figure, we can see that $\angle ABC+$ Reflex$\angle ABC={360}^{\circ }$
So, Reflex $\angle ABC={360}^{\circ }-\theta$
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Answer: Option D. ->  Right angled Isosceles triangle 
:
D
In a right-angled isosceles triangle, one angle is right angle and the rest two are acute and equal i.e. 45${}^{\circ }$.

:
There are only two options if at the start you are looking towards South.

Answer: Option C. -> zero angle 
:
C
At 12:00, the hour and the minute hand coincide with each other. In this case, the included angle is 0º. This is known as zero angle.