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Question

The angles in a right-angled isosceles triangle are


A

90°,45°,45°

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B

90°,30°,60°

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C

90°,20°,70°

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D

none of these

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Solution

The correct option is A

90°,45°,45°


An isosceles triangle base angles are equal.

In a right-angled isosceles triangle, one angle is 90°.

Let the other two angles be x

We know, Sum of all angles of a triangle is 180°

90°+x+x=180°90+2x=1802x=180-902x=90x=902x=45°

Therefore, the other two angles will be 45°each.

So, the angles are 90°,45°,45°

Hence option A is correct.


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