WebOct 29, 2016 · The polygon has 15 sides. The formula for finding the measure of an exterior angle of a regular polygon is 360/n, where n is the number of sides of the polygon. So, 24 = 360/n 24(n) = n(360/n) 24n = 360 (24n)/24 = 360/24 n = 15 So the polygon has 15 sides. WebApr 2, 2024 · ⋆ [ Exterior angle is always equal to the sum of two non - adjacent interior angles ] ~Remove the unnecessary brackets. ~Add the like terms : 2x ° & 3x° ~Move 4x to right hand side and change it's sign …

Secants, Tangents, and Angles Assignment Flashcards Quizlet

WebWhen tangents intersect outside a circle, the measure of the angle they form is one half the difference of the intercepted arcs. Since the tangents are at the endpoints of the same diameter, both intercepted arcs would have to measure 180 degrees. This means the angle would have a measure of one half times the difference of 180 and 180, which is 0. WebAll central angles would add up to 360° (a full circle), so the measure of the central angle is 360 divided by the number of sides. Or, as a formula: central angle = 360 n degrees where n is the number of sides The measure of the central angle thus depends only on the number of sides. coupon for hertz car rental

Finding the Measures of an Interior Angle and an Exterior Angle …

WebThe exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle. The formula for … WebFeb 11, 2024 · Explanation: for any regular polygon the exterior angles add up to 3600 so 1 ext.∠ = 360 n where n = the number of sides for a 16-gon 1ext.∠ = 360 16 = 22.50 If you wanted the size of 1 interior angle subtract this from 1800 thus: 1 int.∠ = 180 − 22.5 = 157.50 Answer link WebNov 2, 2024 · To find the measure of an interior angle of a regular polygon, take the sum of all interior angles and divide by the number of angles. The sum of all interior angles can be found by (n - 2)*180 where … brian christopher merchandise