Answer:
The value of x is 48°
D is correct
Step-by-step explanation:
We are given a circle with two intersecting chord which makes angle at intersection.
Chord makes arc at cricle 60° and 36°
Intersecting angle is equal to average of angle form at center by same arc.
x° is average of 60° and 36°
[tex]x^\circ=\dfrac{60^\circ+36^\circ}{2}[/tex]
Now we will solve for x
[tex]x^\circ=\dfrac{96^\circ}{2}[/tex]
[tex]x^\circ = 48^\circ[/tex]
Hence, The value of x is 48°
