is it possible for the interior angles of a regular polygon to each measure 77 degrees?

Question

yes or no

Answer 1

No. For a regular polygon with n sides, the measure of each interior angle is given by:

( n - 2 ) * 180 / n

If we substitute n = 360 / 77, we get a non-integer result, which means that it is not possible for the interior angles of a regular polygon to each measure 77 degrees.

Answer 2

Is this statement #2 is inverse, converse, or contrapostive of statement 1
1-If a polygon is a quadrilateral then it has 4 sides
2-If a polygon does not have 4 sides then it is not a quadrilateral

Answer 3

Statement #2 is the contrapositive of statement #1.

Answer 4

what is the best statement for Alternate interior angles are congruent
<ABD is congruent to <CDB
<A is congruent to <C
<ADB is congruent to <CBD
<ABC is congruent to <ABC

Answer 5

The best statement for alternate interior angles are congruent is:

"If a transversal intersects two parallel lines, then the alternate interior angles are congruent."

Answer 6

based on the answer choices which one fits?

Answer 7

Out of the answer choices provided, the statement that fits the best is:

"When a transversal intersects two parallel lines, the alternate interior angles are congruent."

Answer 8

<ABD is congruent to <CDB
<A is congruent to <C
<ADB is congruent to <CBD
<ABC is congruent to <ABC

out of those choices which one?

Answer 9

Of the answer choices provided, none of them is an accurate statement for the fact that alternate interior angles are congruent.

The statement "Alternate interior angles are congruent" applies specifically to situations where a transversal intersects two parallel lines.

Therefore, the best statement for this fact is: "When a transversal intersects two parallel lines, the alternate interior angles are congruent."