Question

what will be the measure of each angle of an isoscales triangle if one angle is 90

Answer 1

the ans is 45°,45°,90°

Answer 2

In an isosceles triangle, two sides are equal.

We know that opposite Angles of equal sides are equal.

Let the equal angles be Ang 1 =Ang 2= X
Ang 3=90°

Therefore by angle sum property of triangle,
Ang 1+ Ang2+Ang3=180°
=>X+X+90°=180°
=>2X=180°-90°
=>X=90°/2=45°

Therefore, Ang1=Ang2=45°

So, measure of each angle of isosceles triangle is 45°

Hope it helps.
Answered by RS DEBASHIS SAHA.

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