One of the acute angle of a right-angled triangle is 55- Find the measure and type of the other angle-

It is a right angled triangle so one angle is= 90^∘ (Given) One acute angle = 55^∘ Figure: We know that sum of interior angles of a triangle is equal to 180^ ...

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Standard V

Mathematics

Classification of Triangles Based on Their Angles

One of the ac...

Question

One of the acute angle of a right-angled triangle is $55^{\circ},$ Find the measure and type of the other angle.

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Solution

It is a right angled triangle so one angle is $= 90^{\circ}$ (Given)
One acute angle $= 55^{\circ}$
Figure:

We know that sum of interior angles of a triangle is equal to $180^{\circ}$
So, $∠ A B C + ∠ B C A + ∠ C B A = 180 90 + 55 + ∠ C B A = 180 ∠ C B A = 180^{\circ} - (90 + 55) ∠ C B A = 180^{\circ} - 145^{\circ} ∠ C B A = 35^{\circ}$

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One of the acute angle of a right-angled triangle is 55∘, Find the measure and type of the other angle.

It is a right angled triangle so one angle is=90∘ (Given) One acute angle =55∘ Figure: We know that sum of interior angles of a triangle is equal to 180∘ So, ∠ABC+∠BCA+∠CBA=18090+55+∠CBA=180∠CBA=180∘−(90+55)∠CBA=180∘−145∘∠CBA=35∘

One of the acute angle of a right-angled triangle is $55^{\circ},$ Find the measure and type of the other angle.