Each interior angle of a polygon is 135
WebMar 12, 2024 · The sum of the interior angles of a polygon is (n-2) 180, where n is the number of sides. In a regular polygon, each of those angles is equal, so each interior … 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 …
Each interior angle of a polygon is 135
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WebDec 21, 2024 · In a regular polygon each interior angle is 135° greater than each exterior angle. How many sides has the polygon? Geometry Angles and Intersecting Lines … WebMar 28, 2024 · Detailed Solution. Download Solution PDF. Each interior angle of a regular polygon is 135, ⇒ Exterior angle = 180° - Interior angle = 45°. ⇒ Number of sides of …
WebQuestion. (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. 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 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 WebGiven, each interior angle of a regular polygon is 135°. We have to find the number of sides of a regular polygon. We know that the sum of interior angles of any polygon (convex or concave) having n sides is(n -2) x 180°. Now, sum of interior angles = 135n. Now, 135° × n = (n - 2) × 180° 135n = 180n - 360. On solving for n, 180n - 135n ...
Web1080/8 = 135°, Here n = 8: ... Each interior angle of a regular polygon of 'n' sides can be calculated using the formula ((180(n-2))/n)°. As per the alternate interior angles …
WebClassify the polygon. 6840°. Find the sum of the interior angles of a convex 40-gon. 24-gon. The sum of the measures of the interior angles of a convex polygon is 3960. Classify the polygon. 121°. A convex hexagon has interior angle measures of 105°, 142°, 140°, 124°, 88° and x°. Find the value of x. sonda curiosity bbcWebDec 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 sonda bougieWebClick here👆to get an answer to your question ️ its angles are Each interior angle of a polygon is \( 135 ^ { \circ } . \) How many sides does it have For a convex polygon of \( … sonda boulwareWebJun 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 − … sonda botton mickeyWebQ: In a regular polygon, each interior angle measures 135°. If each side of the regular polygon… A: Given that, in a regular polygon, each interior angle measures 135 degrees. Then each exterior angle… small desk with printer standWeb6 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. … small desk without drawers redoneWebYou'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: The measure of each interior angle of a regular polygon is 135 degrees. A.) … sond6f