One of the angles forming a linear pair is an obtuse angle. What kind of angle is the other?

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Solution

If one of the angles of a linear pair is obtuse, then the other angle should be acute; only then can their sum be 180°.

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Q. One of the angles forming a linear pair is a right angle. What can you say about its other angle?

Question 84(ii)

What is the type of the other angle of a linear pair, if one of its angles is obtuse?

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 two lines intersect and if one pair of vertically opposite angles is formed by acute angles, then the other pair of vertically opposite angles will be formed by obtuse angles.

Q. If there is a linear pair having acute angle of 2x and a obtuse angle of 3x +

5^{\circ}

then what is value of x

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