Determine if the statement is always, sometimes or never true. there are 300 degrees in the sum of the interior angles of a polygon.
a. always
b. sometimes
c. never

Answer with explanation:

Sum of interior angles of any polygon having , n sides = (n-2)×180°

It is given that, sum of interior of any polygon =300°

A.T.Q

→ (n-2)×180=300

→Means that ,number of sides of the polygon is a fraction,which is Impossible.

Hence, we can conclude that,it is Impossible to have, 300 degrees in the sum of the interior angles of a polygon.

Option C: Never

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

the correct answer is x/3+10≥32

hope this !