A triangle whose two angles measure 25- and 35- is - triangle-an acute nbsp-angled-an obtuse nbsp-angled-a right angled-an equilateral-

The correct option is B an obtuse nbsp;angled We know, the sum of angles of a triangle nbsp;= 180^∘. If two angles measure 25^∘ and 35^∘, the third angle ...

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Standard VII

Mathematics

Triangles and Its Types

A triangle wh...

Question

A triangle whose two angles measure $25^{\circ}$ and $35^{\circ}$ is ___ triangle.

an acute angled

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an obtuse angled

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a right angled

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an equilateral

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Solution

The correct option is B
an obtuse angled

We know, the sum of angles of a triangle $= 180^{\circ}$ .

If two angles measure $25^{\circ}$ and $35^{\circ}$ , the third angle measures $(180^{\circ} - 25^{\circ} - 35^{\circ}) = 120^{\circ}$
Since the third angle is more than $90^{\circ}$ , the triangle is an obtuse angled triangle.

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Similar questions

Question 2 Match the following $\begin{matrix} Measure of Triangle & Types of triangle 3 sides of equal length & Scalene 2 sides of equal length & Isosceles right angle All sides are of different length & Obtuse angle 3 acute angles & Right angle 1 right angle & Equilateral 1 obtuse angle & Acute angle 1 right angle with two sides of equal Length & Isosceles \end{matrix}$

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°.

Choose the correct answer from the given alternative:

In a triangle ABC, ∠B = ∠C = 45°, then the triangle is ____________.

A. right triangle

B. acute angled triangle

C. obtuse angle triangle

D. equilateral triangle

Match the following:

Measures of Triangle	Type of Triangle
(i) 3 sides of equal length	(a) Scalene
(ii) 2 sides of equal length	(b) Isosceles right angled
(iii) All sides are of different length	(c) Obtuse angled
(iv) 3 acute angles	(d) Right angled
(v) 1 right angle	(e) Equilateral
(vi) 1 obtuse angle	(f) Acute angled
(vii) 1 right angle with two sides of equal length	(g) Isosceles

Q. A triangle whose two angles measure

25^{\circ}

and

35^{\circ}

is ___ triangle.

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A triangle whose two angles measure 25∘ and 35∘ is ___ triangle.

The correct option is B an obtuse angled We know, the sum of angles of a triangle =180∘. If two angles measure 25∘ and 35∘, the third angle measures (180∘−25∘−35∘)=120∘ Since the third angle is more than 90∘, the triangle is an obtuse angled triangle.

A triangle whose two angles measure $25^{\circ}$ and $35^{\circ}$ is ___ triangle.