Question

In the Given Figure, angle AOC+ angleBOD=75°, then the value of angle COD is
with full solution
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Answer 1

Answer:

∠ AOC + ∠ BOD + ∠ COD = 180°

therefore

75°+ ∠COD = 180°

∠COD = 105°

Step-by-step explanation:

Answer 2

Answer:

In the given figure where ∠AOC + ∠BOD = 75° then the value of ∠COD is 105°.

Step-by-step explanation:

We have given a figure in which one mainline segment is drawn named AB and two line segments OC and OD are drawn from point O which is in the line segment AB.

In the figure ∠AOC + ∠BOD = 75°

Step 1 of 2

It is well-known fact in mathematics that the sum of all angles from a single point in the same line segment is equal to 180°. Then the measure of the given angle can be written as

∠AOC + ∠COD + ∠BOD = 180°

Step 2 of 2

Now it is given that ∠COD + ∠BOD = 75°

Then the equation can be written as

∠COD + 75° = 180°

⇒∠COD= 180° - 75°

⇒∠COD = 105°

Hence from the given condition for the figure the measure of angle Cod is 105°.