Question

If two angles of an right angled triangle are equal then what is the measurement of each angle.​

Answer 1

We know that in a right angled triangle only one side is 90 degree.

Then let the other two sides be x.

Angle (A+ B +C ) = 180

x+ 90 + x=180

2x=180-90

2x=90

x=90/2

x=45

Therefore , The measurement of two equal sides are 45degree

Answer 2

Given,

A right angled triangle

Two angles are equal

To find,

Measure of each angle in a triangle

Solution,

Given, the triangle is a right angled triangle.

So, in a right angled triangle one of the angle will be $90^{0}$

Since in a right angled triangle, one of the angle is $90^{0}$ , let the other triangle be $x^{0}$ .

As they have given two angles measure the same, the third angle will also be equal to $x^{0}$ .

Sum of the angles in a triangle = $180^{0}$

$x^{0}+x^{0}+90^{0} = 180^{0}$

⇒ $2x^{0}+90^{0} = 180^{0}$

⇒ $2x^{0} = 180^{0} - 90^{0} = 45^{0}$

⇒ $x^{0} = \frac{90}{2}$

⇒$x^{0} = 45^{0}$

Hence , measure of each angle in a right angles triangle with other two angles equal is $45^{0}$.