The document Value Based Questions- Lines and Angles Class 9 Notes | EduRev is a part of the Class 9 Course Class 9 Mathematics by Full Circle.

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**Question 1. On Monday Prashantâ€™s school bus was late due to a traffic jam and his maths class was missed. He was very upset as his teacher had introduced a new topic on geometry. Rahul promised to help him after school. Rahul went to Prashantâ€™s house and explained him the topic. He also gave him the following test also: Which of the following statements are true? **

**(a) Two adjacent angles are said to form a linear pair of angles, if their uncommon arms are two opposite rays.**

**(b) The sum of all the angles around a point is equal to 180Â°. **

**(c) The measure of an angle is twice the measure of its supplementary angle. Itâ€™s measure is 60Â°. **

**(d) The angle between the bisectors of a linear pair of angles is a right angle.**

**(e) Three or more lines are said to be concurrent if there is a point which lies on all of them. (i) Write the appropriate answers of above questions. (ii) Which mathematical concept is used in the above problem? (iii) By explaning the topic to Prashant, which value is depicted by Rahul? Solution.** (i) The approprite answers are:

(a) True

(b) False

(c) False

(d) True

(e) True

(ii) Lines and Angles (Geometry).

(iii) Helping a friend in need.

**Question 2. Three friends plan to help flood-victims. They move away from a point in three different directions such that the direction of each is equally inclined to those of the other two: (i) Find the angles their directions make with another. (ii) Which mathematical concept is used in the above problem? (iii) By helping the flood-victims, which value is depicted by the teachers and students? Solution.** (i) Let â€˜Oâ€™ be the point from where the three friend move to the points A, B and C, such that OA makes equal angles with OB and OC such that

âˆ AOB = âˆ AOC ..... (i)

Also, OB makes equal angles with OA and OC

Such that

âˆ AOB = âˆ BOC ..... (ii)

From (i) and (ii), we get

âˆ AOB = âˆ BOC = âˆ AOC ..... (iii)

Since, sum of all angles around a point = 360Â°

â‡’ âˆ AOB + âˆ BOC + âˆ AOC = 360Â°

â‡’ âˆ AOB + âˆ AOB + âˆ AOB = 360Â° [from iii]

â‡’ 3 âˆ AOB = 360Â°

â‡’ âˆ AOB = (360^{o}/3)= 120Â°

âˆ´ From (iii), we have: âˆ BOC = 120Â° and âˆ AOC = 120Â°

(ii) Lines and Angles (Geometry)

(iii) Helping attitude towards disastrous victims.

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