Long anaIn the given figure, 2b-a 65° and ZBOC-90find the measure of

1.	Long anaIn the given figure, 2b-a 65° and ZBOC-90find the measure of ZAOB, ZAOD and LCOD90°2a+b+150bo
Answer» sum of all the angles around a point is = 360° => 2a+b+15+2b+a+90 = 360=> 3a+3b = 360-90-15=> a+b= 255/3 = 85°.....(1) also 2b-a = 65°.....(2) so, adding 1 and 2 => a+b+2b-a = 85+65 = 150°=> 3b = 150°=> b = 150/3 = 50° => a = 35° angle AOB = a = 35°angle AOD = a+2b = 135°angle COD = 2a+b+15 = 2*35+50+15 = 135° thanks bhai

Long anaIn the given figure, 2b-a 65° and ZBOC-90find the measure of ZAOB, ZAOD and LCOD90°2a+b+150bo

Answer»

sum of all the angles around a point is = 360°

=> 2a+b+15+2b+a+90 = 360=> 3a+3b = 360-90-15=> a+b= 255/3 = 85°.....(1)

also 2b-a = 65°.....(2)

so, adding 1 and 2 => a+b+2b-a = 85+65 = 150°=> 3b = 150°=> b = 150/3 = 50° => a = 35°

angle AOB = a = 35°angle AOD = a+2b = 135°angle COD = 2a+b+15 = 2*35+50+15 = 135°

thanks bhai