Advertisements
Advertisements
Question
Two straight line AB and CD intersect one another at the point O. If ∠AOC + ∠COB + ∠BOD = 274°, then ∠AOD =
Options
86°
90°
94°
137°
Advertisements
Solution
Let us draw the following diagram showing two lines AB and CD intersecting at a point O.
Thus,
\[\angle \text { AOD}, \angle \text { AOC }, \angle \text { COB } \text { and } \angle \text { BOD }\] form a complete angle, that is the sum of these four angle is 360°.
That is,
It is given that
∠AOC + ∠COB +BOD = 274° ...(ii)
Subtracting (ii) from (i), we get:
∠AOD =360° - 274°
∠AOD = 86°
APPEARS IN
RELATED QUESTIONS
In the below fig, lines PQ and RS intersect each other at point O. If ∠POR: ∠ROQ − 5 : 7,
find all the angles.
In the below fig, rays AB and CD intersect at O.
Determine y when x = 60°
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
Given ∠POR = 3x and ∠QOR = 2x + 10°. If POQ is a straight line, then the value of x is
In the given figure, the value of x is ______.
In the given figure, which of the following statements must be true?
(i) a + b = d + c
(ii) a + c + e = 180°
(iii) b + f = c + e
Two lines are respectively perpendicular to two parallel lines. Show that they are parallel to each other.
If the shortest distance between two straight lines in a plane is observed to change, what must be true about the lines?
