A right-angled triangle can have two $____$ angles. [acute/obtuse]

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Solution

In a right-angled triangle, one of the angles is a right angle.
It means the sum of the remaining two angles must be
$180 ° - 90 ° = 90 °$ .
Thus, both of the remaining two angles must have a measure less than $90 °$ and therefore must be acute.

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Similar questions

Q. Can a triangle have
(i) two right angles?
(ii) two obtuse angles?
(iii) two acute angles?
(iv) each angle more than 60°?
(v) each angle less than 60°?
(vi) each angle equal to 60°?

Which is true?

(a) A triangle can have two right angles.

(b) A triangle can have two obtuse angles.

(d) An exterior angle of a triangle is less than either of ther interior opposite angles.

Q. Can a triangle have:

(i) Two right angles?

(ii) Two obtuse angles?

(iii) Two acute angles?

(iv) All angles more than 60°?

(v) All angles less than 60°?

(vi) All angles equal to 60°?

Q. State 'True' or 'False':
(i) A triangle can have two right angles.
(ii) A triangle cannot have two obtuse angles.
(iii) A triangle cannot have two acute angles.
(iv) A triangle can have each angle less than 60°.
(v) A triangle can have each angle equal to 60°.
(vi) There cannot be a triangle whose angles measure 10°, 80° and 100°.

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?

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A right-angled triangle can have two ____ angles. [acute/obtuse]

In a right-angled triangle, one of the angles is a right angle. It means the sum of the remaining two angles must be180°-90°=90°.Thus, both of the remaining two angles must have a measure less than 90° and therefore must be acute.

A right-angled triangle can have two $____$ angles. [acute/obtuse]

In a right-angled triangle, one of the angles is a right angle.
It means the sum of the remaining two angles must be
$180 ° - 90 ° = 90 °$ .
Thus, both of the remaining two angles must have a measure less than $90 °$ and therefore must be acute.