0
Why is it possible to fnd the sum of the angle measures of a n gon using the formula 180n-360?
Wiki User
∙ 11y ago
540
Eula O'Hara
Wiki User
∙ 11y agoThere are several ways.
Select any vertex and draw all the diagonals from that vertex. This divides the n-gon into (n-2) triangles.
You can show that the sum of the interior angles of the n-gon is the sum of the interior angles of these triangles.
Each triangle = 180 deg so (n-2) triangles = (n - 2)*180 degrees = 180n - 360 deg.
Add your answer:
Earn +20 pts
What is the measures of the interior angles of a regular polygon if each exterior angle measures 72?
The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.
If an angle measures 30 degrees then it is acute?
if an angle measures 30 then it is acute
What is the measures of each angle on a dodecogon?
the measures of each angle in a dodecogon is 360
Is as large as the first angle and the second angle combined Find the angle measures in the quadrilateral?
A quadrilateral has four angles. There is information on only three so there are infinitely many possible answers.
An angle that measures 180?
An angle that measures 180 degrees would be in a straight line. Therefore, this angle is known as a straight angle.
What is the formula for finding angle measures?
360X^-1 then go to your table of values and you will be able to see all the angle measures for every side
Angle A measures 41 and deg and angle D measures 32 and deg. What is the measurement of angle E?
The answer would depend on what the shape is. Without that information, it is not possible to give an answer.
What angle measures 228?
On the basis of the limited information provided, the only possible answer is a reflex angle.
If measure angle 3 equals x2 plus 4x what is the possible measure of angle 3?
If measure angle 3 = x2 + 4x and measure angle 5 = 3x + 72, find the possible measures of angle 3 and angle 5
What is the formula used to find the sum of the angle measures in an n-gon?
The formula is (n-2)x180 over n =x
Is it possible for an obtuse angle to have a complementary angle?
No. Not unless you allow angles with negative measures (which may be appropriate in some circumstances).
What is the formula for the area of a pentagon?
180° (n - 2), where n is the number of sides.
What possible measures for angle a and angle b with triangle abc is a right triangle with the right angle at c?
'a' and 'b' must both be acute, complementary angles.
How can half angle identities help solve nonspecial angle measures?
15 degrees is not a special angle, but it is half of 30, which is a special angle. If you need sin 15 you can use the half angle formula with 30 degrees.
An angle that measures 210 degrees is?
An angle that measures 210 degrees is a reflex angle.
What is the measures of the interior angles of a regular polygon if each exterior angle measures 72?
The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.
What is the measure of the third angle of a triangle if one angle measures 120 and the other measures 42?
The third angle measures 18 degrees.
