Question

If we have isosceles right angle triangle its one side is 45 degree and in other side there is x. Find the value of x

Answer 1

45°+90°+x=180°[angle sum property of triangle]
135°+x=180°
x=180°-135°
x=45°

Answer 2

Answer

To answer this problem we need to take property of triangle i.e Angle sum property .

An Isosceles right angle triangle have 2 acute angles and 1 right angle .

According to the question, 1 angle measure is 45° and the other side is 'x'. A right angle isosceles triangle always have 90° angle in it . Therefore the other angle is '90°' . Now our main aim is to find the measure of unknown angle 'x'.

=> 45° + 90° + x = 180 (Sum of all angles of a triangle is 180°)

=> 135° + x = 180°

=> x = 180° - 135°

=> x = 45°

Verify

45 + 45 + 90 = 180

90 + 90 = 180°

Hence Proved !

Hope it helps