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
How many pairs of adjacent angles are formed when two lines intersect in a point?
Two lines AB and CD intersect at O. If `∠`AOC + `∠`COB + `∠`BOD = 270°, find the
measures of `∠`AOC, `∠`COB, `∠`BOD and `∠`DOA.
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 ______.
Look at the picture given below. Decide whether the lines given in picture is parallel or perpendicular to each other and write the answer in the box.
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.
What is the geometric relationship between two straight lines in the same plane that will never intersect, no matter how much they are extended?
In the example of a 'Zebra crossing,' what feature specifically exemplifies the constant distance property of parallel lines?
If the shortest distance between two straight lines in a plane is observed to change, what must be true about the lines?
