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Lines And Angles
An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45°?
Let A and B are two angles making a complementary angle pair and A is greater than 45º.
A + B = 90º
B = 90º − A
Therefore, B will be lesser than 45º.
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Identify which of the following pairs of angles are complementary and which are supplementary.
(i) 65°, 115° (ii) 63°, 27°
(iii) 112°, 68° (iv) 130°, 50°
(v) 45°, 45° (vi) 80°, 10°
Find the angle which is equal to its supplement.
In the given figure, ∠1 and ∠2 are supplementary angles. If ∠1 is decreased, what changes should take place in ∠2 so that both the angles still remain supplementary.
Can two angles be supplementary if both of them are:
(i) Acute? (ii) Obtuse? (iii) Right?
An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45°?
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?
Indicate which pairs of angles are:
(i) Vertically opposite angles. (ii) Linear pairs.
In the following figure, is ∠1 adjacent to ∠2? Give reasons.
Find the value of the angles x, y, and z in each of the following:
(i) (ii)
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