Answers

1. Answer:   36°

   Step-by-step explanation:   Trust Me!

   Answer is correct on Edge.  Good Luck! 🙂

   In the regular decagon shown, what is the measure of angle 1?

   • 36°

   360° is always the sum of all measures of all exterior angles of a convex polygon. A decagon have 10 sides.

   Since ∠1 = 36°, then each other angle should measure the same, 36°.

   In order to know whether the sum of all the angles equal 360°,
   we need to multiply:  36° x 10.

   36° x 10= 360°.

   And sure enough the answer is correct.

   

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2. Answer:

     ∠1 = 36°

   Step-by-step explanation:

   All angles of a regular polygon are congruent, as are the sides. A regular decagon will have 10 congruent angles.

   Exterior angles

   The sum of the measures of the exterior angles of a convex polygon is always 360°. This decagon has 10 congruent exterior angles, so the measure of each is given by …

     10(∠1) = 360°

     ∠1 = 36° . . . . . . . . divide by 10

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