the interior angle of a regular polygon is four times its exterior angle . Find the number of sides of the polygon

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

A: Given that : a ) n = 4  b) n = 12

Q: Find the measure of each interior angle of a regular polygon whose central angle measures a) 60° b)…

A: a. Central angle measures 60 degree

Q: The sum of the interior angle measures of a polygon is 3,420°. How many sides does the polygon have?

A: Given, The sum of the interior angle measures of a polygon is 3,420°. To find: the number of sides…

Q: How many sides has a regular polygon whose angle at the center is 30 degrees?

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Q: a circle is 24 cm and the distance is

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Q: Find the measure of one exterior angle of each regular polygon nearest tenth if necessary. 13.…

A: Solution ) we know that interior angle of regular polygon  = 180(n-2)/n n = number of sides  In…

Q: The measure of each interior angle of a regular polygon is 162°. Find the number of sides. Number of…

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Q: The measures of three exterior angles of a convex quadrilateral are 90 °, 76 °, and 110 °. What is…

A: Sum of the exterior of the polygon or convex quadrilateral is 360°.

Q: The measure of an interior angle of a regular polygon is 170°. Determine the number of sides of the…

A: For any regular polygon of sides n, measure of interior angle can be given by θ=(n-2)·180°n,  where…

Q: Find the number of sides for a regular polygon whose measure of each interior angle is: а) 108° b)…

A: a) The measure of each interior angle of the regular polygon is 108° Let the number of sides of…

Q: Find the length of the radius of the inscribed circle for a right triangle whose legs measure 6 and…

A: To find the length of the radius of the inscribed circle for a right triangle whose legs measure 6…

Q: If the sum of the interior angle of a regular polygon is 2340° how many sides does the polygon have

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Q: Find the number of sides for a regular polygon in which the measure of each interior angle is 90°…

A: Th measure of each interior angle of a regular polygon of side n is given by I=n-2180°n. The measure…

Q: Find the sum of the interior angle measure of the polygon.

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Q: If two angles of an isosceles triangle measure 35 and the base of the triangle is 18 feet, find the…

A: Given,            The two angles of an isosceles triangle measure 35 and the base of the triangle is…

Q: Find the sum of the measures of the angles of a five- sided polygon

A: Given,          The sum of the measures of the angles of a five- sided polygon.

Q: Name the polygon according to its number of sides. Classify it as either concave or convex and…

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Q: Construct a rectangle with sides of lengths c and d.

A: Given

Q: Calculate the number of sides of the regular polygon given each exterior angle is 14.4°.

A: As we know that the number of the side for a polygon when the exterior angle is given:- Number of…

Q: If the sum of the interior angles of a regular polygon is 900°, find the number of sides.

A: Given,          The sum of the interior angles of a regular polygon is 900°.

Q: A quadrilateral ____ has four obtuse angles.

A: Given:  A quadrilateral ____ has four obtuse angles. To Find: Fill in the blanks

Q: Connor decides to increase the number of sides of a random polygon so that the sum of its interior…

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Q: As the number of sides of a regular polygon increases, the measure of each exterior…

A: We know that sum of exterior angles of polygon is 360°. In case of regular polygon all sides and all…

Q: Find the measure of an angle that is twice as large as its supplement.

A: Given: Let the required angle be 2x and the supplement angle be x

Q: Find the length of the radius of the inscribed circle for a right triangle whose legs measure 6 and…

A: We can solve the problem by using the Pythagoras theorem and the formula for incribed circle radius

Q: If the longer leg of a 30-60-90 degree triangle is 6/3units, Find the length of the shorter leg of…

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

A: The measure of a central angle of a regular n-sided polygon is given by the formula: x=360°n, where…

Q: Draw a cone that is circumscribed about a regular pyramid whose base edge is 5 inches less than 3…

A: let ABCDP be a square base pyramid circumscribing a cone whose radius equal to half of base edge of…

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

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Q: In A RST, which side is the longest? Remember the sum of the angles in a triangle must equal 180°.

A: We are given the following triangle. Now, ∠T=180°-57°-61°=62°. Since ∠T>∠S>∠R⇒RS>RT>TS.…

Q: Draw a cone that is circumscribed about a regular pyramid whose base edge is 5 inches less than 3…

A: Introduction: A pyramid and a cone is very significant solid geometrical figure in mathematics. The…

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: A regular polygon has 24 sides. Work out the size of each exterior angle.

A: Each exterior angle = 360/24 = 15 degrees.

Q: In a regular hexagon, find the number of degrees in one of the angles and one of the angles at the…

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Q: The sum of the measures of the interior angles of a polygon is 2520 degrees. How many sides does…

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Q: Find the length of the inradius of a triangle with side lengths, 5,5, and 8.

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Q: The perimeter of a rhombus is 64 and one of its angles has measure 120. Find the lengths of the…

A: Given that, The perimeter of a rhombus is 64 and one of its angles has measure 120.  To find the…

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: Find the measure of each exterior angle of a regular polygon whose central angle measures a) 45°. b)…

A: Given:Exterior angle of a regular polygon

Q: The sum of the interior angles of a polygon is 540 degrees. Find the number of sides of the polygon.

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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: 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: Find the number of sides for a regular polygon in which the measure of each interior angle is 60°…

A: Given: The measure of each interior angle of a regular polygon is 60° greater than the measure of…

Q: A regular polygon has 24 sides. Find the measure of each exterior angle.

A: We have to find exterior angle for regular polygon of 24 sides. We know the formula of measure of…

Q: Find the measure of each exterior angle of a regular polygon whose central angle measures a) 30°. b)…

A: We know that a regular polygon is a polygon whose all sides are equal in length. Sum of central…

Q: The interior angle of a regular polygon is 165°. How many diagonals does it have?

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Q: The lengths of two consecutive sides of a parallelogram are 6 inches and 9 inches. The included…

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Q: How many sides does a polygon have if the sum of its angle measures is 2700 degrees?

A: Sum of all the interior angles of a polygon having n sides  =  (n-2)180o