Question

7.
In the given figure, 26 - 4 = 65° and ZBOC = 90', find the
measure of LAOB, ZAOD and <COD.
​

Answer 1

Answer:

babyy shark dododododo

Answer 2

Answer:

given that ,

2b-a=65° ············ equation 1

BOC = 90°

now,

AOB + AOD + BOC + COD = 360°

=> a° + 2b° + 90° + 2a° + b° + 15° = 360°

=> 3a° + 3b° + 105° = 360°

=> 3a° + 3b° = 255°

=> 3 ( a + b ) = 255°

=> a + b = 85° ············· equation 2

By adding equations 1 & 2 , we get

-a + 2b = 65°. ( 2b - a = -a + 2b )

a + b = 85°

_______________

add-: 3b = 150°

=> b = 50°

Put the value of b in equation 2 , we get

a + 50° = 85°

=> a = 35°

therefore , AOB = 35°

AOD = 2b

= 2 ( 50° )

= 100°

COD = 2a° + b° + 15°

= 2 ( 35° ) + 50° + 15°

= 70° + 50° + 15°

= 135°