Is it necessary that supplementary angles should be adjacent to each other? Answer in Yes/No.

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Solution

Supplementary angles are the angles when their measures are added together it leads to $180^{o} .$

When supplementary angles are adjacent, it leads to a straight line.

In below figure, both angles are non-adjacent to each other but they are supplementry angles because their sum is $180^{o}$
However, supplementary angles don't need to be adjacent to each other.

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Similar questions

Q. Is it necessary that supplementary angles should be adjacent to each other? Answer in Yes/No.

Suppose two adjacent angles are supplementary. Show that if one of them is an obtuse angle, then the other angle must be acute.

Answer the following questions and justify.
(i) Can two acute angles he complement to each other?
(ii) Can two obtuse angles be complement to each other?
(iii) Can two right angles he complement to each other?
(iv) Can two acute angles be supplementary?
(v) Can two obtuse angles be supplementary?
(vi) Can two right angles be supplementary?
(vii) Can two adjacent angles be supplementary?
(viii) Can two adjacent angles be complementary?
(ix) Can two obtuse angles be adjacent angles?
(x) Can an acute angle be adjacent to an obtuse angle?
(xi) Can two acute angles form a linear pair?
(xii) can two obtuse angles form a linear pair?
(xiii) Can two right angles form a linear pair?

Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle. Justify your answer.

Q. Question 7
Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle? Justify your answer.

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