ENRICHMENT QUESTION
Observe the following letters of English alphabet.
We find a linear pair of angles in letter E and vertically opposite angles in letter X.
Now, make a list of letters of English alphabet which have linear pair and vertically
opposite angles. Colour linear pair with green and vertically opposite angles with
orange.
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Answer:
(a) Yes.
(b) No.
(c) Yes
(d) Yes.
(e) Yes
Step-by-step explanation:
In the figure given,
(a) Yes. ∠1 is adjacent to ∠2 because arm AO is adjacent to arm OC.
(b) No. >∠AOC is not adjacent to ∠AOE because ∠AOC is inside ∠AOE.
(c) Yes. ∠COE and ∠EOD form a linear pair because we can see that CD is a straight line.
(d) Yes. ∠BOD and ∠DOA are supplementary angles because angle between them is 180
∘
.
(e) Yes. ∠1 is vertically opposite to ∠4 because AB and CD are straight lines.
(f) ∠2+∠3 are vertically opposite to ∠5 because AB and DC are straight lines which intersect at O.
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