Question

find x and y in the following figures​

Answer 1

Before going forward, I'll name the point where all the lines meet (in the centre of the square) C

Since this is a square, we can assume that,

<S = 90

<R = 90

<Q = 90

<P = 90

The angle y° bisects the <S . So we can say that

<y = 1/2 <S

To be more clearly, <y = half of <S

= 90/2

= 45°

Now let us consider triangle PQR. First, we'll find all the angles one by one.

= <QPC = 90/2 = 45

= <PQC = 90/2 = 45

= <x° = 180 - 45 + 45  (Sum of the angles of a triangle is always 180)

        = 180 - 90

        = 90°

So, we just solved this question. The answers are:

<x = 90°

<y = 45°