Question

como puedo encontrar la medida de angulos AOB Y BOC

Answer 1

procedimiento paso a paso:

15.
(5x + 36) + (3x)= 180
5x + 36 + 3x = 180
8x = 144
x = 18

AOB = 3x = 3(18) = 54
BOC = 5x + 36 = 5(18) + 36 = 126

16.
(6x - 13) + (7x - 2) = 180
6x - 13 + 7x - 2 = 180
13x - 15 = 180
13x = 195
x = 15

AOB = 7x - 2 = 7(15) - 2 = 103
BOC = 6x - 13 = 6(15) - 13 = 77

17.
7x + 53 = 3x + 85
4x = 32
x = 8

BOC / AOD= 7x + 53 = 7(8) + 53 = 109
AOB / DOC = 71
BOC + AOD + AOB + DOC = 360
109 + 109 + x + x = 360
218 + 2x = 360
2x = 142
x = 71