Question

find the unknown angles in the given figure​

Answer 1

Answer:

The unknown angles y and x are 45°

Step-by-step explanation:

As we know the sum of all the angles of a triangle is 180°

Now, the triangle in the given figure is a right angled triangle and two sides of the triangle are equal which means it is an Isosceles triangle.

Now from the properties of the Isosceles Triangle we come to know that angles opposite to equal sides are equal in measure which basically tells us that the angles x and y are equal.

So in order to find the angle y and x we subtract 90° from 180°

The sum of the angles y and x is 90°

Now as we know that the measure of angle x and y is 90°÷2=45°

So the measure of the angles x=45° and y=45°