What is the Sum of the Interior Angles of a 23-gon

University:
Bradley University
Course:
MTH 119 | Calculus With Review B
Academic year:

2020
Views:

411

Pages:

2
Author:

Cale Mejia

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if necessary. regular 14-gon (14-2)180 2160 regular 23-gon (23-2)180 3780 regular nonagon (9-2)180 1260 regular dodecagon (12-2)180 10(180) 1800 regular 11-gon (11-2)180 720 regular quadrilateral (4-2)180 2(180) 360 Interior Angle Measures: Find the measure of ∠x. x + 101 + 82 + 130 + 90 + 149 = 720 x + 552 = 720 x = 168 ∠A = 70 ∠A + 102 + 146 + 120 + 124 + x = 720 x + 592 = 720 x = 128 113 + 80 + 130 + 90 + x = 540 x = 127 ∠A = 70 ∠A + 102 + 146 + 120 + 124 + x = 720 x = 158 In Exercises 1-3, find the measure of ∠G. 111 + 118 + 130 + 109 + x = 540 x = 72 6 + 103 + 66 + x = 360 x = 185 x + 140 + 140 + 90 + 130 + 151 + 120 = 720 x = 130 8) Find the value of x in the figure given. x + 10 + 2x + 110 + 90 = 360 3x + 210 = 360 3x = 150 x = 50 15. If the sum of the interior angles of a regular polygon equals 720°, and the length of one side of the polygon is 3x², what is the perimeter of the polygon? a. 18x b. 18x² units c. 24x units d. 24x² units e. 27x units (n-2)180 = 720 n = 8 18x = 24x units