Q. Do the measures of an exterior angle and the adjacent interior angle add up to 360 because they form a linear pair?
the measure of an exterior angle and the adjacent interior angle add up to 360 degrees because they form a linear pair. each exterior angle of a regular polygon measures 20 degrees. how many sides does the polygon have?
Q. What is the sum of the measures of the exterior angle and its adjacent interior angle of a polygon?
Answer. Answer: The sum of the measurement of the exterior angle and it’s adjacent interior angle of any polygon is 180°.
Q. Do the measures of an exterior angle and the adjacent?
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. (Non-adjacent interior angles may also be referred to as remote interior angles.) FACTS: The 2 exterior angles at each vertex are = in measure because they are vertical angles.
Q. How many sides does a regular polygon have if the measure of an exterior angle is 45 degree?
8
Q. What is the minimum exterior angle possible?
Answer. The sum of an interior angle and an exterior angle is always supplementary. So for an equilateral triangle, each exterior angle is 120° and interior angle is 60°.
Q. How many sides does a regular polygon have if the measure of exterior angle is 30 degree?
Since all the angles are congruent, 30a=360 , and a=12 . Since a=s , s=12 , so the polygon has 12 sides.
Q. How many sides does a regular polygon have if the measure of an exterior angle is 40 degree?
nine sides
Q. What is the measure of an interior angle of a regular polygon if the exterior angle is 15?
Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be 13 × 180 = 2340 degrees. Since the 15-gon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of 2340 ÷ 15 = 156 degrees.
Q. What is the measure of an exterior angle of a regular 18 Gon?
He goes on further to explain the formula by taking an 18-sided regular polygon as example and computes its exterior angle as 360/18, which is 20 degrees.
Q. How many sides does a regular polygon have if the measure of an exterior angle is 18 degree?
The polygon has 20 sides.
Q. What is the interior angle of a regular 36 sided polygon?
One interior angle in a regular triacontagon is 168 degrees, meaning that one exterior angle would be 12°.
Q. How many interior angles are there in regular 36 Gon?
170 degrees
Q. What is the sum of the interior angle measures of a 35 Gon?
The sum of the interior angles of a polygon is (n-2)*180 where n is the number of sides. In this case n=35. (35-2)*180 = 33*180 = 5940. Because this is a regular polygon all the interior angles are the same.
Q. What is the angle of rotation for a regular 36-Gon?
Similarly, a 36-gon, 45-gon, 72-gon, 90-gon, 180-gon, and a 360-gon all have 80-degree rotational symmetry. Some students might initially focus on these factors of 80 and be uncomfortable with (or just not think of) fractional de- grees of rotational symmetry.
