Each interior angle of a polygon is 135
WebEach interior angle of a regular polygon measures 135 ∘, then the polygon is: A. WebFeb 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 …
Each interior angle of a polygon is 135
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WebJun 15, 2024 · Just divide the sum of the angles by the number of sides. Regular Polygon Interior Angle Formula: For any equiangular n−gon, the measure of each angle is (n − 2) × 180 ∘ n. Figure 5.27.3. In the picture below, if all eight angles are congruent then each angle is (8 − 2) × 180 ∘ 8 = 6 × 180 ∘ 8 = 1080 ∘ 8 = 135 ∘. Figure 5.27.4. 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
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. WebMar 27, 2007 · The measure of an interior angle of a regular polygon is 135 degrees. Find the number of sides in the polygon. This is what I tried: 180(x-2)=135 [Interior Angle …
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. … WebJun 16, 2024 · Because the octagon is regular, all of its sides and angles are congruent. Thus, the measure of each angle is equal to the sum of its angles divided by 8. Therefore, each angle in the polygon has a measure of 1080/8 = 135 degrees. This means that angle FHG has a measure of 135 degrees. Hope It Helps...
WebOctagons have 8 sides so again, we need to adjust the formula accordingly: sum of internal angles = (8 - 2) x 180°. 1080° = 6 x 180°. In a regular octagon, one angle would be worth: 1080° ÷ 8 ...
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°. philip johnson houses in new canaanWebNov 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 truffles fine confections bostontruffles farmington ctWebThe properties of regular octagons: 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. truffles fine foods catering kitchensWebQuestion. (a) Each interior angle of a regular polygon is 135 ∘. Find: (i) the measure of each exterior angle. US (ii) number of sides of the polygon. 8 (iii) name the polygon. Hexagon Octagon. truffles fine foods catering \u0026 caféWebMay 29, 2009 · If the 135-degree polygon is a regular polygon and each interior angle measures 135 degrees then the polygon is an eight-sided octagon. ... It is a regular 8 … truffles food truck menuWebWe 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. ⇒ … truffles food truck