Question

An isosceles triangle has an angle that measures 90°. Which other angles could be in that isosceles triangle? Choose all that apply. 45° 85° 65° 90° Submit

Answer 1

An isosceles triangle is a triangle with two equal sides. Since, one of the angles is 90 degrees. Then, the 2 remaining must equal 90 because the total of the triangle should be 180 degrees. So, I think 45 degrees is the only one we can use here because 45 + 45 = 90 degrees.  

Answer 2

The isosceles triangle has two equal angles.

Other two angles are equal each equal to 45°.

An isosceles triangle therefore has both two equal sides and two equal angles.

Let x be each of two equal angles in given isosceles triangle having third angle 90∘ then the sum of all its interior angles will be equal to 180∘

$x+x+90$° = $180$°

$2x+90$° = $180$°

$2x=180$°$-90$°

$2x=90$°

$x=45$°

Therefore, Other two angles are equal each equal to 45°

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