Each interior angle of a polygon is 135
WebThe measure of each interior angle of a regular polygon can be calculated using the formula: Interior angle = (n - 2) x 180 / n. where n is the number of sides. ... Interior angle = (8 - 2) x 180 / 8 = 135 degrees. For a polygon with 10 sides: Interior angle = (10 - 2) x 180 / 10 = 144 degrees. WebDec 29, 2024 · each interior angle = 135° Interior angle + exterior angle = 180º. Finding exterior angle: 135 + exterior angle = 180. exterior angle = 180 - 135. exterior angle = 45º. Finding the number of sides: Sum of all exterior angles = 360º. Number of sides = 360 ÷ 45 = 8 sides. Answer: It is a 8-sided polygon, I. e, an Octagon ☑️☑️. #sumedhian
Each interior angle of a polygon is 135
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WebSolution: Given n = 5. S = (n – 2) x 180° Formula for the sum of interior angles of polygon. S = (5 – 2) x 180° Substitute 5 for n. S = 540°. So, the sum of the interior angles of a polygon with five sides is 540°. WebEach interior angle of a regular polygon measures 135 ∘, then the polygon is: A.
Web6 years ago. So if we know that a pentagon adds up to 540 degrees, we can figure out how many degrees any sided polygon adds up to. Hexagon has 6, so we take 540+180=720. …
WebInterior Angle = 180° − 45° = 135 ... The "inside" circle is called an incircle and it just touches each side of the polygon at its midpoint. The radius of the incircle is the … WebIf each interior angle of a regular polygon measures 135°, the polygon must be A) octagon B) decagon C) hexagon D) pentagon Let the number of sides (and angles) of …
WebApr 6, 2024 · In the case of regular polygons, the measure of each interior angle is congruent to the other. A Theorem about Interior Angles. Here will prove the polygon …
WebThe interior angles of any polygon always add up to a constant value, which depends only on the number of sides. For example the interior angles of a pentagon always add up to 540° no matter if it regular or irregular, convex or concave, or what size and shape it is. The sum of the interior angles of a polygon is given by the formula: sum. =. 180. import function into powershellWebWe know that each of all angles of a polygon whose sides and angles are equal is given by (n - 2) × 180°/n, where n is the number of sides. Interior angle = [ (n - 2) × 180] / n. ⇒ … literature science and the arts michiganWebFeb 25, 2024 · The regular polygon has 8 sides. It is a regular octagon. Step-by-step explanation: Given, Each interior angle of a polygon = 135° To find, the number of sides of polygon(n) = ? We know that, Each interior angle of a regular convex n-gon has a measure of. ⇒ . ⇒ . ⇒. ⇒. ⇒ . Hence, the regular polygon has 8 sides. It is a regular … import function into pythonWebNov 23, 2024 · The number of sides of the polygon with 135° interior angle is 8 Step-by-step explanation: Given as : The measure of each interior angle of regular polygon = 135° Let The total number of sides = n. So, each internal angle of a regular polygon with n sides = or, 135° = or, = 180° - 135° or, = 45° ∴ n = I.e n = 8 literature science alliance youtubeWebThe sum of interior angles is \((6 - 2) \times 180 = 720^\circ\).. One interior angle is \(720 \div 6 = 120^\circ\).. Exterior angles of polygons. If the side of a polygon is extended, the angle ... literature schools in canadaWebThe number of sides in a polygon is equal to the number of angles formed in a particular polygon. The size of each interior angle of a polygon is given by; Measure of each interior angle = 180° * (n – 2)/n. where n = number of sides. Examples. Size of the interior angle of a decagon. A decagon is a 10 -sided polygon. n = 10. Measure of each ... literature scoping reviewWebDec 7, 2024 · Answer: 8 sides. Step-by-step explanation: Let number of sides of the polygon be n. Since, each interior angle of a polygon=(n-2)X 180 degree /n =>135 degree =(n-2)X 180 degree /n literature scoping review advantages