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Supplementary Angles

Can two obtus...

Question

Can two obtuse angles be supplementary?

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Solution

Two angles are said to be supplementary if their sum is 180⁰. If one of the anglesis obtuse, then the supplement of the angle is acute. The sum of two obtuse angleis always greater than 180⁰.
so sum of obtuse angles cannot be supplementary.

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Q. Can two obtuse angles be supplementary?

Two obtuse angles can be supplementary angles.

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?

If true then enter

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Can two obtuse angles be supplementary?

Q. Can two right angles be supplementary?

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