Use your answer to exercise 29 to determine whether your pentagon is regular. 10 v u t 70 use the interior or exterior angles of a circle theorem to set up and solve an equation to find the value of x.
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Exterior angle of regular polygons.
Interior and exterior angles worksheet with answers pdf. Simply add the two non adjacent angles and you have found the measure of the exterior angle. 2 worksheet by kuta software llc kuta software infinite geometry name the exterior angle theorem date period. 1 108 2 135 3 147 3 4 120 5 140 6 150 7 regular 24 gon 165 8 regular quadrilateral 90 9 regular 23 gon 164 3 10 regular 16 gon 157 5 find the measure of one exterior angle in each polygon.
The sum of the exterior angles at each vertex of a polygon measures 360 o. Worksheet by kuta software llc 2 find the measure of the arc or angle indicated. Round your answer to the nearest tenth if necessary.
Find the measure of each angle. Divide 360 by the number of sides to figure out the size of each exterior angle in this unit of regular polygons pdf worksheets for 8th grade and high school students. J a2a0d1o1 y bkeu5tsam dspo8f 2tvw7adraer mlylqcb d a va sl dl 2 ir 3ihg7hutus x erle 9sse ergv le2d p 9 c omka2dce h nwjituh r ihnzf 4ibnqintveu cgueo7mfeter 9yb.
11 the sum of the interior angles of a regular polygon is 720. 9 b c d 128. The measurements of the three interior angles are given.
Logical reasoning select the word that makes the statement true. Having the ability to rearrange equations will help with interior and exterior angle questions. The exterior angles are the angles formed between a side length and an extension.
The sum of the measures of the exterior angles of a convex. Microsoft word worksheet triangle sum and exterior angle doc author. Measure the interior angles of your knot with a protractor.
The interior angles of a shape are the angles inside the shape. 1 36 2 72 3 108 4 180 10 find in degrees the measures of both an interior angle and an exterior angle of a regular pentagon. Assume that lines which appear tangent are tangent.
21 1 22 2 23 3 24 4 25 5 26 6 3 4 6 5 2 1 68 90 122 x 6x 7 103 x 2x x 56 x x x 57 43 50 x 53 62 80 65 x 80 50 44 x title. 1 8 2 6 3 5 4 4 12 the measure of an interior angle of a regular. How many sides does the polygon have.
Explain how you obtained your answer. Use the value for the unknown to evaluate the expression for the required angle. Interior and exterior angles.
Homework 7 1 page 320 2 9 11 16 21 26 online 7 1 1 16. Exterior angles of a triangle worksheet 1 this angle worksheet features 12 different triangles all with one clearly identified exterior angle represented by x. Find the measure of one interior angle in each polygon.
Write an equation relating the exterior and remote interior angles. Interior and exterior angles add up to 180 degree. Find the measure of an interior angle of a regular pentagon.
Exterior angles of a regular pentagon. 11 d e g f 190 70 9x. Solve for the unknown.
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