how would you find the measure of one interior angle?
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A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.
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Answer and Explanation: Thus, the measure of central angle is as: CA=360∘n C A = 360 ∘ n . Thus the internal angle is product of central angle and difference of sides and 2, while external angle is equal to central angle.
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The Sum of interior angles in a parallelogram equals a complete angle . As per the question, The angles of given questions are 30x , 40y,30x , 40y . 2(3x+4y) = 36 . 3x+ 4y = 18.
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All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1080 degrees (from above)... And there are eight angles... So, the measure of the interior angle of a regular octagon is 135 degrees.
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['Two pairs of sides known as consecutive sides are equal in length.', 'One pair of diagonally opposite angles is equal in measurement. These angles are said to be congruent with each other.', 'The diagonals meet each other at 90°, this means that they form a perpendicular bisection.']
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Find and Use Consecutive (Interior or Exterior) Angles. Consecutive interior angles lie inside on the same side of a transversal. Consecutive exterior angles lie outside on the same side of a transversal.
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['Rectangular prism - Multiply the measurement of the length times the width, then times the height.', 'Cube - Since all sides are the same measurement, it would be the measurement of any side, or edge, cubed, or a³']
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Alternate Interior Angle Theorem The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
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In order to find the value of the interior angle of a regular polygon, the equation is (n−2)180∘n where n is the number of sides of the regular polygon.
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['The number of sides of the shape.', 'The angles between the sides of the shape.', 'The length of the sides of the shape.']
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All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 540 degrees (from above)... And there are five angles... So, the measure of the interior angle of a regular pentagon is 108 degrees.
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Lines a and b are parallel to each other! ... The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary, or add up to 180 degrees.
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1 Answer. Interior angles are measures from one side to an adjacent one INSIDE the polygon. Exterior angles are measures from the adjacent side to an EXTENDED external line from the polygon.
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['Find the slope of each line.', 'Find the angle of inclination of each line, using θ=tan−1m. (Here, θ is the angle of inclination, m is the slope.)', 'Subtract the two angles.', 'Handle the case where this difference is not an acute angle. (If you get a negative angle, take its absolute value.']
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['three different angle measures that add up to 180 degrees.', 'three sides of different lengths, or noncongruent sides.']
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Alternate Interior Angle Theorem The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent . So, in the figure below, if k∥l , then ∠2≅∠8 and ∠3≅∠5 . Proof.
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1 Answer. The difference be-tween the sum of the exterior angles and the sum of the interior angles is 180∘ .