Each interior angle has a measure of 156°
WebOct 30, 2024 · 156° Step-by-step explanation: The sum of the interior angles of a regular polygon is. sum = 180° (n - 2) ← n is the number of sides. Here n = 15, thus. sum = 180° … WebQuestion 1 ( 3 points) Each interior angle of a regular polygon measures 156 degrees. Using formulas on your formula sheet, algebraically a) determine the number of sides …
Each interior angle has a measure of 156°
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WebAn interior angle is an angle that lies inside a polygon. The number of interior angles in a polygon is equal to its number of sides. For example, a polygon with three sides, a triangle, will have three interior angles. Each type of polygon has a different sum of interior angles. An angle is measured in degrees or radians. WebIn a regular polygon, the measure of each interior angle is 162 degrees, how many sides does the polygon have? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
WebOct 31, 2024 · Here each triangle has has 180°. so the sum of the interior angles of the 15 sided polygon must be 13 × 180 = 2340° . 15-gon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a … WebSolution. The interior angle of a regular polygon is 156 deg. Hence each exterior angle is 180–156 = 24 deg. So the polygon has 360/24 = 15 sides. Suggest Corrections. 74. …
Web13 triangles. Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be 13 · 180 = 2340 degrees. Since the 15-gon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of 2340 ÷ 15 = 156 degrees. 2. WebFind the number of sides in a regular polygon if each interior angle has the following measures a. 60° b. 156° d. 140° c. 90° 8-45. Determine if the figures below (not drawn to scale) are similar. Justify your decision. 0.5 7.2 cm
WebThe interior angles of a regular polygon are each 156°. Calculate the number of sides. The interior angles are 156°, so the exterior angles are 180° - 156° = 24°. All the exterior …
WebAug 2, 2024 · If the interior angle of a regular polygon is 156 degrees then the number of sides of the polygon is 15. We can solve the above mathematical problem using the following approach. The sum of an interior angle and an exterior angle is 180°, so if the interior angle is 156°, then the exterior angle = 180° - 156° = 24°. dutch stamppot in instant potWebFeb 18, 2016 · The polygon will have 40 sides. The measure of the interior angles of a polygon is determined by the formula ((n - 2)180)/n = interior angle measure were n is the number of angles and sides of the polygon. We know that the interior angles of the polygon in the question have measures of 171^o ((n - 2)180)/n = 171^o ((n - 2)180) = … crysstyles hair salonWebDec 6, 2024 · According to this theorem, in a convex polygon, the sum of all the exterior angles is equal to 360°. This can be proved in the following way; We know that sum of interior angles of a polygon is given by 180° × (n-2) where n is the number of sides of the polygon. So, the measure of each interior angle of the polygon will be 180° × (n-2) / n. crysta abselethcrysta and kodaWebA regular octagon has all its interior angles equal in measure. Therefore, measure of each interior angle = 1080°/8 = 135°. Q.3: What is the sum of interior angles of a 10-sided polygon? Answer: Given, Number of sides, n = 10. Sum of interior angles = (10 – 2) x 180° = 8 x 180° = 1440°. Video Lesson on Angle sum and exterior angle property dutch standard eventsWebAug 2, 2024 · 156 dergrees. Step-by-step explanation: Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15 must be 13 × 180 = 2340 degrees. ... Each interior angle must have a measure of 2340 ÷ 15 = 156 degrees. Advertisement Advertisement New questions in Mathematics. The price of a technology stock was $9.79 ... dutch standard light bulbsWebWhat is the sum of the interior angle measures of a regular decagon? What is the measure of each interior angle of a regular decagon? 1440. 144. Four interior angles … dutch star class a