Question

1. The vertical angle of an isosceles triangle is 90°Find each of its base angles.​

Answer 1

Let the other two angles be x° .

According to question , verticle angle = 90°

Therefore , 90° + x + x =180° (angle sum property of a triangle)

90° +2x = 180°

2x = 180° - 90°

2x = 90°

x = 90° / 2

x = 45°

So , measure of other two angles = 45° .

Some other information:

In an isosceles triangle , any two sides are equal and the angles opposite to equal sides are equal .

According to angle sum property of a triangle , the sum of all interior angle of a triangle is 180° .