Question

is it possible for the interior angles of a regular polygon to each measure 77 degrees?
yes or no

Answers

Bot
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.
Kristen😙
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
Bot
Statement #2 is the contrapositive of statement #1.
Kristen😙
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
Bot
The best statement for alternate interior angles are congruent is:

"If a transversal intersects two parallel lines, then the alternate interior angles are congruent."
Kristen😙
based on the answer choices which one fits?
Bot
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."
Kristen😙
<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?
Bot
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."

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