Question

AOB is a straight line.If angle AOC + angle BOD =85°,then angle COD = (a)85° (b)90° (c)95° (d)10°

Answer 1

Answer:

95

Step-by-step explanation:

Angle AOC+Angle BOD +Angle COD =180

85+Angle COD =180

Angle COD =180-85

Angle COD =95 ANSWER

Answer 2

Given:

• AOB is a straight line
• ∠AOC+∠BOD = 85°

To Find:

• The value of angle COD.

Solution:

Since ∠AOC,∠BOD,∠COD forms a linear pair.

⇒ ∠AOC+∠BOD +∠COD = 180° {sum of linear pair angle is supplementary}

On substituting the given values we get,

⇒ 85° + ∠COD = 180°

We will shift the numerical to one side to get the equation in terms of angle COD.

⇒ ∠COD = 180°- 85° {subtracting the values}

⇒ ∠COD = 95°

∴ The value of angle COD = 95° (option c)