Find The Measure Of Each Interior And Exterior Angle The Diagram Is Not To Scale
Sum of angles of polygon nxn 2180 where n 12 no of sides x each interior angle of polygon hence 12x1800 x 180012 150 so exterior angle18015030 degree.
Find the measure of each interior and exterior angle the diagram is not to scale. If the measure of the exterior angle is 3x 10 degrees and the measure of the two remote interior angles are 25 degrees and x 15 degrees find x. The measure of an exterior angle our w of a triangle equals to the sum of the measures of the two remote interior angles our x and y of the triangle. Without more information you can only find the value of the interior angles of a regular polygon. Solution example 4 find unknown exterior angle measures find the value of x in the diagram shown.
Solution example 5 find angle measures in regular polygons lamps the base of a lamp is in the shape of a regular 15 gon. Each is 7206 or 120 degrees. Find the value of x in the diagram shown. Lets try two example problems.
If the measure of each interior angle of a regular polygon is 150 find the number of sides of the polygon. Using the equation is n 2180 at n where n is the number of sides of the regular polygon a regular polygon refers to a multi sided convex figure where all sides are equal in length and all angles have equal degree measures. You may need to find exterior angles as well as interior angles when working with polygons. We now know that interior and exterior angles are supplementary add up to 180 at each vertex so the measure of each exterior angle is 180 120 60.
An interior angle of a polygon is an angle inside the polygon at one of its vertices. Find a the measure of each interior angle and b the measure of each exterior. The regular triangle. Angle q is an interior angle.
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