Please help me solve these problems
Will do first question of each concept only because the rest of the questions are the same concept (the same few repeat but whatever).
1. Total angle = (n - 2) * 180 --> 4 * 180 = 360°
70 + 130 + 120 + θ = 360 --> 320 + θ = 360 --> θ = 40
4. Total angle = (10 - 2) * 180 --> 8 * 180 = 1440
1440/10 = 144°
6. Interior: (n - 2) * 180 --> 10 * 180 = 1800
Exterior: 12 * 180 = 2160 --> 2160 - 1800 = 360
9. (n - 2) * 180 --> 3 * 180 = 540
90 + 90 + 150 + 160 + θ = 540 --> 490 + θ = 540 --> θ = 50
13. Interior: (n - 2) * 180 --> 2 * 180 = 360
Exterior: n * 180 - (n - 2) * 180 --> 180n - 180n + 360 --> 360 (always the same)
16. 7r + 4r + 8r + 5r = 360 --> 24r = 360 --> r = 15