X and Y are supplementary angles, and X is an acute angle. Y is _____.

an acute angle

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an obtuse angle

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a right angle

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more than 180°

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Solution

The correct option is B an obtuse angle
As seen in this figure, X and Y are supplementary, and X is an acute angle.

∴ X + Y = 180°

⇒ Y = 180° - X

As X is acute angle, Y must be obtuse angle.
Example:
Let's take X = 80° (Acute angle)
80° + Y = 180°
⇒ Y = 100° (Obtuse angle)

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Similar questions

Q. Which of the following is/are true about

∠ C O B

and

∠ B O A ?

Q. Two acute angles cannot form a pair of supplementary angles . Justify .

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?

Question 61

State whether the statement is True or False.

One obtuse angle and one acute angle can make a pair of supplementary angles.

Q. Question 1
The angles between North and West and South and East are
(a) complementary
(b) supplementary
(c) both are acute
(d) both are obtuse

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X and Y are supplementary angles, and X is an acute angle. Y is _____.

The correct option is B an obtuse angleAs seen in this figure, X and Y are supplementary, and X is an acute angle. ∴ X + Y = 180° ⇒ Y = 180° - X As X is acute angle, Y must be obtuse angle. Example: Let's take X = 80° (Acute angle) 80° + Y = 180° ⇒ Y = 100° (Obtuse angle)

The correct option is B an obtuse angle
As seen in this figure, X and Y are supplementary, and X is an acute angle.

∴ X + Y = 180°

⇒ Y = 180° - X

As X is acute angle, Y must be obtuse angle.
Example:
Let's take X = 80° (Acute angle)
80° + Y = 180°
⇒ Y = 100° (Obtuse angle)