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Lines And Angles

Question
CBSEENMA7000830
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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.

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Solution

∠1 and ∠2 are supplementary angles.

If ∠1 is reduced, then ∠2 should be increased by the same measure so that this angle pair remains supplementary.

Some More Questions From Lines and Angles Chapter

Find the complement of each of the following angles:

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Find the supplement of each of the following angles:

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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.

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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?

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Indicate which pairs of angles are:

(i) Vertically opposite angles. (ii) Linear pairs.

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