Question:
In Figure, if x + y = w + z, then prove that AOB is a line.
In Figure, if x + y = w + z, then prove that AOB is a line.
Updated On: Sep 17, 2024
Hide Solution
Verified By Collegedunia
Solution and Explanation
It can be observed that, x + y + z + w then prove that AOB is a line.
\(⇒\)\(\text{ x+y+w+z = 360°}\)
It is given that,
\(\text{x+y = w+z}\)
So, (x + y) +(x + y) = 360°
2(x + y) = 360°
∴ (x + y) = 180°
Since x and y form a linear pair, AOB is a line.
Was this answer helpful?
2
2
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, lines AB and CD intersect at O. If \(∠\)AOC+\(∠\)BOE=70° and \(∠\)BOD=40°, find \(∠\)BOE and reflex \(∠\)COE.
- 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
- Explain what the reasons for the following are.
(i) Einstein leaving the school in Munich for good.
(ii) Einstein wanting to study in Switzerland rather than in Munich.
(iii) Einstein seeing in Mileva an ally.
(iv) What do these tell you about Einstein?- CBSE Class IX
- A truly beautiful mind
- (i) The kind of person the doctor is (money, possessions)
(ii) The kind of person he wants to be (appearance, ambition)- CBSE Class IX
- The snake and the mirror
In Fig. 9.26, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠ BEC = 130° and ∠ ECD = 20°. Find ∠ BAC.
- CBSE Class IX
- Angle Subtended by an Arc of a Circle
- Name the two temples the author visited in Kathmandu.
- CBSE Class IX
- Kathmandu
Look up the dictionary entries for the words sympathy, familiarity, comfort, care, and surprise. Use the information given in the dictionary and complete the table.
Noun, Adjective, Adverb, Verb, Meaning:
sympathy
familiarity
comfort
care
surprise- CBSE Class IX
- If I were you
View More Questions