Advertisements
Advertisements
Question
In the given figure, AOB is a straight line. If ∠AOC + ∠BOD = 85°, then ∠COD =
Options
85°
90°
95°
100°
Advertisements
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
\[\angle COD + 85^\circ = 180^\circ \]
\[ \Rightarrow \angle OD = 180^\circ - 85^\circ \]
\[ \Rightarrow \angle COD = 95^\circ \]
APPEARS IN
RELATED QUESTIONS
How many pairs of adjacent angles are formed when two lines intersect in a point?
In the below fig, three coplanar lines intersect at a point O, forming angles as shown in the figure. Find the values of x, y, z and u.
Prove that the bisectors of a pair of vertically opposite angles are in the same straight line.
In the below fig, rays AB and CD intersect at O
Determine x when y =40
In the below fig, lines AB, CD and EF intersect at O. Find the measures of ∠AOC, ∠COF,
∠DOE and ∠BOF.
If l, m, n are three lines such that l || m and n ⊥ l, prove that n ⊥ m.
Consider the following statements:
When two straight lines intersect:
(i) adjacent angles are complementary
(ii) adjacent angles are supplementary
(iii) opposite angles are equal
(iv) opposite angles are supplementary
Of these statements
In the given figure, the value of y is
Mention two real life situations where we use parallel lines
Two lines are respectively perpendicular to two parallel lines. Show that they are parallel to each other.
