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If two angles are complementary, then the sum of their measures is _______.

(i) If two angles are complementary, then the sum of their measures is 90o. When the sum of any two angles is 90o then these angles are said to... View Article

Find the values of the angles x, y, and z in each of the following:

(i) Solution ∠x = 55o, because vertically opposite angles. ∠x + ∠y = 180o [∵ linear pair] Substituitng the value of x... View Article

In the following figure, is ∠1 adjacent to ∠2? Give reasons.

Solution From the given figure we get to know that ∠1 and ∠2 are not adjacent angles. As, they are not lie on the same vertex.... View Article

Indicate which pairs of angles are: (i) Vertically opposite angles. (ii) Linear pairs.

Solution (i) Vertically opposite angles. Answer From the given figure we get to know that ∠1 and ∠4, ∠5 and ∠2 +... View Article

In the adjoining figure: (i) Is ∠1 adjacent to ∠2? (ii) Is ∠AOC adjacent to ∠AOE? (iii) Do ∠COE and ∠EOD form a linear pair? (iv) Are ∠BOD and ∠DOA supplementary? (v) Is ∠1 vertically opposite to ∠4? (vi) What is the vertically opposite angle of ∠5?

Solution (i) Is ∠1 adjacent to ∠2? Answer From the given figure we get to know that Yes, ∠1 adjacent to ∠2 As ∠1... View Article

An angle is greater than 45o. Is its complementary angle greater than 45o or equal to 45o or less than 45o?

Solution Let us assume the complementary angles be x and y, We know that The sum of measures of complementary angle pair is 90o. Then,... View Article

Can two angles be supplementary if both of them are: (i). Acute? (ii). Obtuse? (iii). Right?

(i). Acute? Answer No. If two angles are acute, It indicates the angles are less than 90o. Hence the two angles cannot be... View Article

In the given figure, ∠1 and ∠2 are supplementary angles. If ∠1 is decreased, what changes should take place in ∠2 so that both angles still remain supplementary.

Solution From the given figure, we observe that, ∠1 and ∠2 are supplementary angles. If ∠1 is decreased, then ∠2 must... View Article

Find the angles which is equal to its supplement.

Solution Let the angle that has to be measured = xo. We know that the When the sum of any two angles is 180o then these angles are... View Article

Find the angles which is equal to its complement.

Solution Let the angle that has to be measured = xo. We know that the When the sum of any two angles is 90o then these angles are said... View Article

Identify which of the following pairs of angles are complementary and which are supplementary. (i) 65o, 115o (ii) 63o, 27o (iii) 112o, 68o (iv) 130o, 50o (v) 45o, 45o (vi) 80o, 10o

(i) 65o, 115o Answer:- In order to determine whether the angles are supplementary or complementary, we have to find the sum of the given angles.... View Article

Find the supplement of each of the following angles:

(i) Solution If two angles are supplementary, then the sum of their measures is 180o. As per the figure, the angle given here is 105o Let us... View Article

Find the complement of each of the following angles:

(i) Solution When the sum of any two angles is 90o then these angles are said to be complementary As per the figure, the angle given here... View Article

A coin is flipped to decide which team starts the game. What is the probability that your team will start?

Solution We know that one coin has two faces one is Head and another one is Tail. Now, one team can choose either one of the sides that is Head... View Article

There are 6 marbles in a box with numbers from 1 to 6 marked on each of them. (i) What is the probability of drawing a marble with number 2? (ii) What is the probability of drawing a marble with number 5?

Solution From the given details we get to know that (i) There are 6 marbles in the box with numbers from 1 to 6 are marked. Probability of... View Article

Tell whether the following is certain to happen, impossible, can happen but not certain. (i) You are older today than yesterday. (ii) A tossed coin will land heads up. (iii) A die when tossed shall land up with 8 on top. (iv) The next traffic light seen will be green. (v) Tomorrow will be a cloudy day.

(i) You are older today than yesterday. Answer It is certain to happen. (ii) A tossed coin will land heads up. Answer It can happen but not... View Article

Take the data giving the minimum and the maximum temperature of various cities given in the beginning of this Chapter (Table 3.1). Plot a double bar graph using the data and answer the following: (i) Which city has the largest difference in the minimum and maximum temperature on the given date? (ii) Which is the hottest city and which is the coldest city? (iii) Name two cities where maximum temperature of one was less than the minimum temperature of the other. (iv) Name the city which has the least difference between its minimum and the maximum temperature.

Solution (i) From the double graph drawn we get to know that, Jammu has the largest difference in the minimum and maximum temperature... View Article

Consider this data collected from a survey of a colony. (i) Draw a double bar graph choosing an appropriate scale. What do you infer from the bar graph? (ii) Which sport is most popular? (iii) Which is more preferred, watching or participating in sports?

Favourite Sport Cricket Basket Ball swimming Hockey Athletics Watching 1240 470 510 430 250 Participating 620 320... View Article

The performance of a student in 1st Term and 2nd Term is given. Draw a double bar graph choosing appropriate scale and answer the following. (i) In which subject, has the child improved his performance the most? (ii) In which subject is the improvement the least? (iii) Has the performance gone down in any subject?

Subject English Hindi Maths Science S. Science 1st Term (M.M. 100) 67 72 88 81 73 2nd Term (M.M. 100) 70 65 95 85... View Article

Number of children in six different classes are given below. Represent the data on a bar graph. (a) How would you choose a scale? (b) Answer the following questions: (i) Which class has the maximum number of children? And the minimum? (ii) Find the ratio of students of class sixth to the students of class eight.

Class Fifth Sixth Seventh Eighth Ninth Tenth Number of Children 135 120 95 100 90 80 Solution:- (a) We... View Article