If two lines intersect at a point, then the vertically opposite angles are always _____________.
If two lines intersect at a point, then the vertically opposite angles are always equal. When two lines intersect each... View Article
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If two adjacent angles are supplementary, they form a ___________.
If two adjacent angles are supplementary, they form a linear pair. Linear pair of angles are formed when two lines... View Article
Two angles forming a linear pair are _______________.
Two angles forming a linear pair are Supplementary. Linear pair of angles are formed when two lines intersect each other... View Article
If two angles are supplementary, then the sum of their measures is ______.
If two angles are supplementary, then the sum of their measures is 180o. When the sum of any two angles... View Article
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... 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... 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... 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... 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... 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... 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... 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... 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... 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... 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... 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... 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... 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... 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... 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... View Article
