Question

plz answer this question plzzz

Answer 1

Question 1
To find x we have to choose the method of linear pair.So, we have to add AOD,DOC and COB.
${45}^{0} + 2x + x + {15}^{0} = {180}^{0} \\ 2x + x + {15}^{0} = {180}^{0} - {45}^{0} \\ 3x + {15}^{0} = {135}^{0} \\ 3x = {135}^{0} - {15}^{0} \\ 3x = {120}^{0} \\ x = \frac{120}{3} \\ x = 40$