Question

What is the value of X?
30
60
36
48

Answer 1

Take 36 and add it to 60 it gives you 96 then divide it by 2 and the answer is 48

Answer 2

The value of x is 48°

D is correct

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°

`x^\circ=(60^\circ+36^\circ)/(2)`

Now we will solve for x

`x^\circ=(96^\circ)/(2)`

`x^\circ = 48^\circ`

Hence, The value of x is 48°