Prove that an exterior angle of a regular polygon is equal to the angle at the center?

Q: What is the measure of one interior angle of the polygon below? SHOW WORK

A: we have to find out the interior angle of  the polygon

Q: Prove that if one interior angle of a triangle is right or obtuse, then the other two interior…

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Q: The measure of an exterior angle of a convex regular polygon is 45 degrees. Find the number of sides…

A: Given,          The measure of an exterior angle of a convex regular polygon is 45°.

Q: What is the sum of the measure of interior angles of a regular octagon?

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Q: Find the sum of the interior angle measures of a convex 18-gon (an eighteen-sided polygon).

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Q: Find the sum of the interior angle measures of the polygon. The sum of the interior measures of the…

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Q: An angle inscribed in a semicircle is an obtuse angle. true or false?

A: The given statement is "An angle inscribed in a semicircle is an obtuse angle"   To determine: The…

Q: Find the measure of a central angle of a regular polygon that has 54 diagonals.

A: We have to find measure of central angle of the regular polygon that has 54 diagonals. We know the…

Q: or a quadrilateral inscribed within a circle, opposite pairs of its interior angles are said to be…

A: For a quadrilateral inscribed within a circle, opposite pairs of its interior angles are said to be…

Q: Determine the measure of one interior angle of a regular 90-sided polygon.

A: We have a given polygon with 90 sides It is a regular polygon   We have to determine the measure…

Q: If there measure of an exterior angle of a regular polygon is 24, how many sides does the polygon…

A: Sum of all interior angles of polygon is (n-2)180°  here n= number of sides

Q: An interior angle of a regular polygon measures 165. If each side of the regular polygon measures 10…

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: Opposite angles are congruent in an isosceles trapezoid. O True O False

A: In Isosceles trapezoid,

Q: The circumcenter is found at the intersection of the angle bisectors of the triangle. True or False?

A: All three angle bisectors of the angles of a triangle meet at a single point, called the incenter.…

Q: Prove that any angle bisector of a triangle separates the opposite side into segments whose lengths…

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Q: Find the measure of an exterior angle of a regular triacontagon (30 sided polygon).*

A: The formula for the measure of an exterior angle of a regular polygon is: Exterior angle=360°n…

Q: Prove in a paragraph proof: If a parallelogram is inscribed in a circle, then it is a rectangle

A: Given: A parallelogram inscribed in a circle. To prove: The parallelogram is a rectangle.

Q: True or False:  If each interior angle of a regular polygon has a degree measure of 168°, the…

A: Formula for interior angle of a polygon is given by: einterior angle =n-2n×180° Where, n= number of…

Q: True or False: An exterior angle of a polygon is supplementary to the interior angle at that vertex.

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Q: The measure of each interior angle of a regular octagon is____?

A: The octagon has 8 sides. Therefore measure of interior angle of octagon is, n-2180°n=8-2180°8=135°

Q: "find the number of sides for a regular polygon whose measure of each interior angle is 168

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Q: The top surface of a picnic table is in the shape of a regular hexagon. What is the measure of the…

A: It is known that the table is in the shape of a regular hexagon.

Q: What is the measure of one interior angle of a regular 20-gon?

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Q: Prove that the sum of the angles of an elliptical triangle is more than two right angles.

A: Solution:-

Q: What is the sum of the interior angles of this octagon?

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Q: Write a complete proof to prove that the base angles of an isosceles trapezoid are congruent

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Q: Aregular pentagon is shown

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Q: What is the measure of an interior angle of a regular 12-gon?

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The region interior to a central angle is called a __________.

A: Given: The region interior to a central angle is called a __________.

Q: An equilateral triangle can make a regular tessellation. O True O False

A: Equilateral triangles, squares and regular hexagons are the only regular polygons that will…

Q: what is the maximum interior angle possible for a regular p olygon?

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Q: A prism with bases that are not aligned one directly above the other and lateral faces that are all…

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Q: prove that the angles that the lateral ribs of a two-sided trapezoid form with the bases of the…

A: To prove that the angles that the lateral ribs of a two-sided trapezoid form with the bases of the…

Q: what is the measure of an interior angle of a regular nonagon?

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Q: (In spherical geometry) In what way does the length of the summit of a Saccheri Quadrilateral…

A: Given: Let us consider a Saccheri Quadrilateral with 2 equal sides which is perpendicular to the…

Q: Find the measure of a central angle of a regular polygon that has 35 diagonals.

A: polygon: Let the polygon has n sides,We need to find the number of sides whose diagonals are…

Q: Base angles are congruent in an isosceles trapezoid. O True False

A: In an isosceles trapezoid,  two non-parallel  sides are equal. So, the base angles are same as equal…

Q: Determine the measure of one exterior angle of a regular 20-sided polygon.

A: The measure of an exterior angle of a regular polygon with n sides is 360n°.

Q: Determine the measure of one exterior angle of the regular nonagon.

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Q: Is there a regular polygon whose angle at the center is 17 °? 7°30'?

A: We first convert 17 1/7 into an improper fraction Then we divide 360 degrees by 170/7 to find the…

Q: Prove that if a point is contained in two angles of a triangle, then it is contained in the interior…

A: In a triangle, any two angles are adjacent (i.e, sharing a common hand)

Q: prove the theorem that states that the angle between a tangent and a chord is equal to the angle in…

A: To prove the theorem that states that the angle between a tangent and a chord is equal to the angle…

Q: What is the interior angle sum of the regular polygon below?

A: We have,

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

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Q: Show all of the polygons that form regular tessellations. Summarize what is true about the interior…

A: The objective is to show that all the polygons form regualr tessellations. Also to summarize about…

Q: What is the measure of an interior angle of a regular 10-gon?

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Q: What is the measure of the exterior angle of a regular octagon?

A: Given : To determine the measure of the exterior angle of a regular octagon.

Q: An apothem of a regular polygon is perpendicular to one of its sides. true or false?

A: To find- An apothem of a regular polygon is perpendicular to one of its sides.

Q: Determine the measure of one interior angle of the regular nonagon.

A: Our Aim is to determine the measure of one interior angle of the regularnonagon.