Question:
In Figure, lines AB and CD intersect at O. If \(∠\)AOC+\(∠\)BOE=70° and \(∠\)BOD=40°, find \(∠\)BOE and reflex \(∠\)COE.
In Figure, lines AB and CD intersect at O. If \(∠\)AOC+\(∠\)BOE=70° and \(∠\)BOD=40°, find \(∠\)BOE and reflex \(∠\)COE.
Updated On: Nov 17, 2023
Hide Solution
Verified By Collegedunia
Solution and Explanation
Given: \(∠\)AOC + \(∠\)BOE = 70° and \(∠\)BOD = 40°
To find: \(∠\) BOE, and Reflex \(∠\)COE
From Figure,
(\(∠\)AOC +\(∠\)BOE +\(∠\)COE) and (\(∠\)COE +\(∠\)BOD +\(∠\)BOE) forms a straight line.
So, \(∠\)AOC+\(∠\)BOE +\(∠\)COE = \(∠\)COE +\(∠\)BOD+\(∠\)BOE = 180°
Now, by putting the values of \(∠\)AOC + \(∠\)BOE = 70° and \(∠\)BOD = 40° we get
\(∠\)COE = 110° and \(∠\)BOE = 30°
So, reflex \(∠\)COE = 360o – 110o = 250o
Was this answer helpful?
0
0
Top Questions on Intersecting Lines and Non-intersecting Lines
- Q is a point on the line BD dividing the segment internally. AB, PQ and CD are drawn perpendicular to BD. If AB = a, PQ = b and CD = c, then
- AP POLYCET - 2019
- Mathematics
- Intersecting Lines and Non-intersecting Lines
- It is given that \( ∠\)XYZ = 64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects \(∠\)ZYP, find \(∠\)XYQ and reflex \(∠\)QYP.
- CBSE Class IX
- Mathematics
- Intersecting Lines and Non-intersecting Lines
- In Figure, if x + y = w + z, then prove that AOB is a line.
- CBSE Class IX
- Mathematics
- Intersecting Lines and Non-intersecting Lines
- In Figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that \(∠\)ROS = \(\frac{1}{2}\) (\(∠\)QOS – \(∠\)POS)
- CBSE Class IX
- Mathematics
- Intersecting Lines and Non-intersecting Lines
- In Figure, \(∠\)PQR = \(∠\)PRQ, then prove that \(∠\)PQS = \(∠\)PRT.
- CBSE Class IX
- Mathematics
- Intersecting Lines and Non-intersecting Lines
View More Questions
Questions Asked in CBSE Class IX exam
- What did his father say to this?
- CBSE Class IX
- My childhood
- The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian Society is given below:
Section
Number of girls per thousand boys Scheduled Caste (SC)
940
Scheduled Tribe (ST)
970
Non-SC/ST
920
Backward districts
950
Non-backward districts
920
Rural
930
Urban
910
(i) Represent the information above by a bar graph.
(ii) In the classroom discuss what conclusions can be arrived at from the graph.- CBSE Class IX
- Graphical Representation of Data
- Fig shows the distance-time graph of three objects A, B and C. Study the graph and answer the following questions:
- Which of the three is travelling the fastest?
- Are all three ever at the same point on the road?
- How far has C travelled when B passes A?
- How far has B travelled by the time it passes C?
- CBSE Class IX
- Graphical Representation of Motion
- The text you read is a travelogue where the author, Vikram Seth, talks about his visit to two sacred places in Kathmandu. Imagine that you were with Vikram Seth on his visit to Pashupatinath temple, and you were noting down all that you saw and did there, so that you could write a travelogue later.
Record in point form • what you see when you reach the Pashupatinath temple • what you see happening inside the temple • what you do when inside the temple • what you see outside the temple • what your impressions are about the place.- CBSE Class IX
- Kathmandu
- Sergei says, “I am happy that my words have taken effect.” Why does he say so? Is he right in saying this?
- CBSE Class IX
- The beggar
View More Questions