Question

please help by step by step explanation!


question
given that AOB is a straight line find value of unknown​

Answer 1

Step-by-step explanation:

$given \: aob \: is \: straight \: line \: \\ \\ aob \: + cob \: = 180 \\ \\ (4d + 16) + (2d + 14) = 180 \\ \\ 6d + 30 = 180 \\ \\ 6d = 150 \\ d = 25 \\ \\ d = 25 \: put \: place \: of \: d \\ \\ aoc \: \\ 4d + 16 \\ 4 \times 25 + 16 \\ 100 + 16 = 116 \\ angle \: aoc \: = 116 \\ \\ angle \: cob \\ 180 - 116 \\ = 64 \\ cob \: = 64$