Worksheet by kuta software llc 2 find the measure of the arc or angle indicated. 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.
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Write an equation relating the exterior and remote interior angles.
Interior and exterior angles worksheet with answers pdf. 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. Use your answer to exercise 29 to determine whether your pentagon is regular. Exterior angles of a regular pentagon.
11 d e g f 190 70 9x. 11 the sum of the interior angles of a regular polygon is 720. Explain how you obtained your answer.
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. Logical reasoning select the word that makes the statement true.
Measure the interior angles of your knot with a protractor. How many sides does the polygon have. Interior and exterior angles.
The sum of the measures of the exterior angles of a convex. Use the value for the unknown to evaluate the expression for the required angle. 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.
Find the measure of an interior angle of a regular pentagon. Homework 7 1 page 320 2 9 11 16 21 26 online 7 1 1 16. 2 worksheet by kuta software llc kuta software infinite geometry name the exterior angle theorem date period.
Simply add the two non adjacent angles and you have found the measure of the exterior angle. Microsoft word worksheet triangle sum and exterior angle doc author. The interior angles of a shape are the angles inside the shape.
Exterior angle of regular polygons. The sum of the exterior angles at each vertex of a polygon measures 360 o. The measurements of the three interior angles are given.
1 8 2 6 3 5 4 4 12 the measure of an interior angle of a regular. Round your answer to the nearest tenth if necessary. Solve for the unknown.
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. The exterior angles are the angles formed between a side length and an extension. Assume that lines which appear tangent are tangent.
Find the measure of each angle. Having the ability to rearrange equations will help with interior and exterior angle questions. 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.
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. 9 b c d 128. Interior and exterior angles add up to 180 degree.
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