Find the measure of each interior angle of a regular polygon whose central angle measures a) 40°. b) 45°.

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 measures of the numbered angles in each rhombus.

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

A: Consider the given Rhombus: Consider the following properties of rhombus: Sides are equal.…

Q: Use a protractor to find the measure of each angle and a ruler to find the length of each side (in…

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Q: Find the number of sides of a regular polygon that has a central angle measuring a) 90°. c) 60°. d)…

A: We have to find number of sides of a regular polygon that has a measure of central angle: a)  90°…

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

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

A: The sum of the exterior angles of a polygon is always 360.  Since it is a regular polygon, so each…

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

A: A regular polygon is a polygon with all equal sides and all equal angles. The sum of interior angles…

Q: Determine the method by which the triangles shown are congruent.

A: Here given graph as

Q: If each interior angle of a regular polygon measures 144°, how many sides does it have? OA. 12 sides…

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Q: Find the measure of a central angle of a regular polygon of a) 8 sides. c) 9 sides. b) 10 sides. d)…

A: To find the measure of a central angle of a regular polygon of given sides:  (a) 8 sides  (b) 10…

Q: For what type of triangle will the incenter and the circumcenter be the same?

A: The Circumcenter of a triangle is the point where perpendicular bisectors of the three sides meet.…

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

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Q: Is it possible for a regular polygon to have the following measures for each interior angle? a) 96°…

A: a) Find the possibility for a polygon to have measure of each interior angle as 96°.

Q: A satellite dish in the shape of a regular dodecagon (12 sides) is nearly “circular." Find: a) mAB…

A: A satellite dish is in the shape of a regular dodecagon (12 sides). Here measure of the one arc is…

Q: Two congruent intersecting circles B and D (not shown) have a line (segment) of centers BD and a…

A: The figure is drawn as shown in the figure with the give conditions.B and D are the centers of two…

Q: Find the measure of each interior angle and each exterior angle of a regular 20-gon (a twenty-sided…

A: Let the measure of the interior angle of a regular n-sided polygon be θ and the measure of the…

Q: Find the number of sides for a regular polygon whose exterior angles each measure: a) 45° b) 9°

A: We know in a regular polygon the sum of all exterior angles is 360 degrees. Therefore the number of…

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: Give the most precise classification for each figure. O A. quadrilateral B. rhombus C. parallelogram…

A: The solution is given below:

Q: What is the measure of each interior angle of the regular polygon pictured below? If necessary,…

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Q: Without seeing the actual shape, which of the following could be the measure of an interior angle of…

A: The measure of an interior angle of a regular polygon is given by the formula  Interior angle=…

Q: Each interior angle of a regular polygon is 156°. How many sides does it have? a) O 15 b) О 17 c) O…

A: Answer and explanation is given below..

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

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Q: A quadrilateral ABCD is to be inscribed in a semicircle in such a way that AD will be along the…

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Q: P 1 C 2 3. R

A: 00

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: The measure of each interior angle of a regular hexagon is

A: Measure of interior angle of regular hexagon

Q: In the accompanying diagram of circle O, AB || CD, BC is a diameter, and radius AO is drawn. If…

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Q: Find the measures of the numbered angles in each rhombus. 6.

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Q: Find the measure of a central angle of a regular polygon with (a) 10 sides,(b) 15 sides, (c) 360…

A: All central angles would add up to 360 degrees (a full circle), so the measure of the central angle…

Q: Find the measure of each exterior angle of each regular polygon. 10. quadrilateral 11. octagon

A: Solution : We have to find out the measure of each exterior angle of a regular octagon.

Q: Which solids can have a cross-section in the shape of an equilateral triangle? Select all that…

A: Given   Some solid figures

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: Which polygon appears to be regular? O Figure A O Figure B Figure A Figure B O Figure C O Figure D…

A: The square in figure A is a regular polygon of 4 sides.

Q: Consider any regular pyramid. Indicate which line segment has the greater length: a) slant height or…

A: Known fact: For a regular pyramid with slant height s, altitude a, radius of base r and lateral edge…

Q: A hexagon with all sides equal to one another and all angles equal to one another can make a regular…

A: To check whether we can make regular tessellation or not?

Q: Use the portion of a regular n-gon with center C Explain in words why the angles formed by a side…

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Q: Draw a concave pentagon that has: a) one interior reflex angle. b) two interior reflex angles.

A: A pentagon that has any interior angle more than 180 degree is called concave pentagon. otherwise it…

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: Find the measure of each interior angle of a regular polygon of n sides if: а) п 3D 4 b) п 3 12

A: a)  n=4  Here use formula  each angle (of a regular polygon) =n-2×180°n Each angle of a regular…

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

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Q: 6. What is the measure of each interior angle of a regular 18-gon?

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Q: Find the measure of a central angle of a regular polygon of a) 3 sides. c) 5 sides. d) 6 sides. b) 4…

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