Question

what is the value of these angels..

Answer 1

Answer:

∴ The unknown angles are 72°, 85° and 23°.

Step-by-step explanation:

∠AOB = 180° [∵ Straight angle)

∠AOD = 8x

∠COD = 7x+22

∠BOC = 3x-4

Now,

∠AOD+∠COD+∠BOC = ∠AOB

or, 8x+7x+22+3x-4 = 180°

or, 18x+18 = 180°

or, 18(x+1) = 180°

or, x+1 = 10°

∴ x = 9°

∴ ∠AOD = 8x = 8×9° = 72°

∴ ∠COD = 7x+22 = 7×9°+22 = 85°

∴ ∠BOC = 3x-4 = 3×9°-4 = 23°

I hope it helps you.