Question

find the values of x and y.
x = \square and y = \square

Explanation:

Step1: Identify the triangle type

The triangle is an isosceles right - angled triangle (since two sides are equal).

Step2: Use angle sum property

In a right - angled triangle, the sum of angles is \(180^{\circ}\). One angle is \(90^{\circ}\). Let the other two angles be \(x\) and \(y\).
Since the triangle is isosceles, \(x=y\).
Using the angle sum formula \(x + y+90^{\circ}=180^{\circ}\).
Substituting \(x = y\) into the formula: \(2x+90^{\circ}=180^{\circ}\).

Step3: Solve for \(x\) and \(y\)

Subtract \(90^{\circ}\) from both sides: \(2x=180^{\circ}-90^{\circ}=90^{\circ}\).
Divide both sides by 2: \(x=\frac{90^{\circ}}{2} = 45^{\circ}\).
Since \(x = y\), \(y = 45^{\circ}\).

Answer:

\(x = 45\) and \(y = 45\)