Find the measure of each interior angle of a regular polygon of n sides if: a) n = 6 b) n = 10

Q: Which set of dimensions belongs to a right rectangular prism with a volume of 440 cm ? O A. 6 cm, 12…

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Q: Let ABC be an equilateral triangle with AB = AC, and let AD be the angle bisector of BAC. Show that…

A: Use congruence triangle

Q: Find the measure of each interior angle and each exterior angle of a regular 15-gon (a fifteen-sided…

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Q: If one exterior angle in a regular polygon measures 9°, how many sides does the polygon contain? 36…

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Q: Find the measure of each of the interior angles of a regular 15-sided polygon.

A: Each Interior angle of a 15-sided regular polygon is 156°.

Q: The corresponding sides of two regular pentagons are 2 in and 7 in. What is the ratio? Apothem?…

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Q: Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round…

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Q: In Exercises 1-6, identify all triangles in the figure that fit the given description. 1.…

A: Given:  To identify all the 6 triangles in the given figure.

Q: /2. The corresponding sides of two regular pentagons are 2 in. and 7 in. What is the ratio of their…

A: Given that the sides of two regular pentagons are 2 in and 7 in.  So their sides are in ratio of 2:7…

Q: given a cube whose edge is a cm find  1- the angle between the digonal of the cube and the digonal…

A: Consider this picture for ease of understanding.

Q: What is the measure of each interior angle in a regular 15-gon?

A: What is the measure of each interior angle in a regular 15-gon?

Q: The measure of each central angle of a regular polygon is 36° a. How many sides does this regular…

A: Given: The measure of each central angle of a regular polygon is 36°. To determine: a) Number of…

Q: To construct a regular dodecagon (12 sides), what measure would be necessary for each interior…

A: dodecagon is a polygon that has 12 sides and we have to find the interior angles of that polygon by…

Q: Each exterior angle of a regular polygon has the measure 8°. How many sides does the polygon have?…

A: The formula for  measuring the  exterior angle  of a regular polygon, where n is the number of sides…

Q: The interior angles of an​ n-gon have an average measure of 150°. What is​ n?

A: If polygon with n sides then each angle can be expressed as n-2×1800n

Q: For the right triangular prism found in Exercise 16, suppose that the sides of the triangular base…

A: Introduction: The lateral surface area of a right triangular prism is given by, LSA=perimeter of…

Q: Given rectangle ABCD, let P be the point outside ABCD that makes triangle CDP equilateral, and let Q…

A: According to question given that ABCD is rectangle ∆CDP is an equilateral triangle∆BCQ is an…

Q: The measure of each interior angle of a regular polygon is 11 times that of an exterior angle. How…

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Q: Find the measure of one interior angle in this polygon. Interior angle of the octagon is

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Q: What is the total measure of the central angles of a circle with no common interior points? * O 120…

A: Since,  sum of the central angles of a circle with no common interior point is 360°. Hence 360 is…

Q: The interior angle of a rhombus is 64o and the shorter diagonal is 24 cm. Compute the area of the…

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Q: Find the measure of the numbered angles in each rhombus. 3. 4, 136° m21=

A: Given data: ABCD is a rhombus. Side AB=BC=CD=DA ∠C=136∘

Q: Find the measure of each interior angle and each exterior angle of a regular 18-gon (an…

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Q: An exterior angle of a regular polygon is 45°. How many sides has the polygon?

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Q: Given the regular polygon, find the measure of each numbered angle. 1 O m/1 = 22.5°, m2 = 78.75° O…

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Q: Find the number of sides of a convex polygon if the measures of its interior angles have a sum of…

A: Explanation and solutions is given below....

Q: In a regular n-gon, the area is 700 cm^2, the apothem is 10 cm, and each side is 7 cm. The perimeter…

A: The formula for the area of a n-gon is 12ap ,  where a=apothem and p=perimeter. Therefore by the…

Q: Find the interior angle of each regular polygon. Round to the nearest tenth. Regular 22-gon

A: We know that the interior angle of regular polygon having n sides  = [(2n - 4)*90]/n

Q: The formula for the sum of the measures of the interior angles of a polygon is A = 180°(n - 2). O…

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Q: Each exterior angle of a regular polygon has a measure of 30 . What is the total number of sides of…

A: Given, A polygon has exterior angle of measure 30°

Q: Given a regular polygon with radii and an apothem as shown, find the measure of each numbered angle.…

A: As it is regular polygon and three sides so we can say it is equilateral triangle. Use the…

Q: If each interior angle of a regular polygon has measure 160, how manysides does the polygon have?

A: We have to find number of sides of the polygon if each interior angle of a regular polygon has…

Q: Determine the measure of one interior angle of a regular 45-sided polygon. 360° 170° 45° 172°

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Q: Find the measure of each exterior angle of a regular polygon of n sides if: a) n = 6 b) n = 10

A: Concept - Sum of exterior angles of a polygon = 360°Eaxh exterior angle = 360nwhere,n = number of…

Q: Find the measure of one interior angle in this polygon. Interior angle of the polygon is

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Q: Use the results from Exercises 36 and 37 to find the length of the radius of the inscribed circle…

A: a) The sides of triangle are given to be 8, 15 and 17. Let us check whether the triangle is right…

Q: 1. Find the measures of the numbered angles in the rhombus. (3

A: Answer

Q: Find the number of sides for a regular polygon in which each interior angle is 120° larger than each…

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: Find the measure of one of the exterior angles of a regular polygon with nine sides. 140° b. 40° c.…

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Q: How many sides does a regular polygon have if each interior angle: 140°? measureS

A: (1) Exterior angle of polygon = 180°- Interior angle of polygon ⇒Exterior angle of polygon = 180°-…

Q: A regular polygon has exterior angles measuring 30 degrees each. How many sides does this polygon…

A: Given, exterior angles=30o Number sides of polygon= ?

Q: Each interior angle of a regular polygon has a measure of 162°. The polygon has a total of how many…

A: Using formula

Q: 3. Find the dihedral angle formed by any two adjacent faces of a regular octahedron if one edge is…

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Q: Each exterior angle in a regular polygon has a measure of 18°. How many sides does the polygon have?…

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Q: For a regular polygon with 8 sides, each exterior angle has a measure of - 45° 90° 180° 135°

A: A regular polygon with 8 sides is called octagon.

Q: In circle O, AE measures of each of the five angles in pentagon ABCDE. = 120° and CD = 42°. Find the

A: Consider the given circle O Given AE⏜=120° and CD⏜=42° We have to find five all angle within he…

Q: In the accompanying diagram of AABC, AB = 6, BC = 8, and AC = 12. Point X, Y, and Z are midpoints of…

A: Solve the following

Q: 1. Given the following criteria, construct a triangle on the back of this page using the grids, then…

A: (a) Draw a triangle ABC AB=5  , BC = 7  and CA = 10 units All the sides are not same . They are…

Q: In Exercises 1-6, identify all triangles in the figure that fit the given description. 1. isosceles…

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