Question

Find the value of the x and y
​

Answer 1

Answer:

x = 52.5° = y

Step-by-step explanation:

According to the formula,

           105° = 2x

        => x = $\frac{105}{2}$ = 52.5°

∴ y = 52.5°

Answer 2

Given::

∠BOC =105°

➣Angle subtended by a chord to the circle is half of the angle subtended by a chord to the centre.

So ∠BAC=1/2 (∠BOC)

=105°/2=52.5°

➣If a quadrilateral inscribed in a circle then the sum of opposite angles of a quadrilateral is 180°.

$so$

∠BAC+∠BDC=180°

∠BDC=127.5°

Therefore x,y are 52.5°,127.5°.