Advertisement Remove all ads

In the Given Figure, Aob Is a Straight Line. If ∠Aoc + ∠Bod = 85°, Then ∠Cod = - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
MCQ

In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD =

Options

  • 85°

  • 90°

  • 95°

  • 100°

Advertisement Remove all ads

Solution

It is given that AOC is a straight line.

Also, ∠AOC, ∠BOC, and ∠COD form a linear pair.

Therefore, their sum must be supplementary.

That is

∠AOC + ∠BOD+ ∠COD= 180°  ....(1)

It is given that

\[\angle AOC + \angle BOD = 85°\]      ......(2)
On substituting the value of (2) in (1) we get,

\[\angle COD + 85^\circ = 180^\circ \]

\[ \Rightarrow \angle OD = 180^\circ - 85^\circ \]

\[ \Rightarrow \angle COD = 95^\circ \]

Concept: Concept of Parallel Lines
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Q 6 | Page 51

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×