two angles form a linear pair. if one angle is acute, what is the other angle

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$Dear student, Let x and y be linear pair . So, x + y = 180 ° \Rightarrow x = 180 ° - y As, x is acute angle So, 0 ° \leq 180 ° - y \leq 90 ° 0 ° - 180 ° \leq - y \leq 90 ° - 180 ° - 180 ° \leq - y \leq - 90 ° 90 ° \leq y \leq 180 ° Therefore, y is obtuse angle . Regards$

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Question 84(i)

What is the type of other angles of a linear pair, if one of its angles is 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?
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(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?
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(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.

Which of the following statements are true., (T) and which are false (F)?

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(iv) If angles forming a linear pair are equal, then each of these angles is of measure $90^{\circ}$ .

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two angles form a linear pair. if one angle is acute, what is the other angle

Dear student,Let x and y be linear pair.So, x+y=180°⇒x=180°-yAs, x is acute angleSo, 0°≤180°-y≤90°0°-180°≤-y≤90°-180°-180°≤-y≤-90°90°≤y≤180°Therefore, y is obtuse angle.Regards

$Dear student, Let x and y be linear pair . So, x + y = 180 ° \Rightarrow x = 180 ° - y As, x is acute angle So, 0 ° \leq 180 ° - y \leq 90 ° 0 ° - 180 ° \leq - y \leq 90 ° - 180 ° - 180 ° \leq - y \leq - 90 ° 90 ° \leq y \leq 180 ° Therefore, y is obtuse angle . Regards$