Question

find x in the following figure​

Answer 1

Answer:

Step-by-step explanation:

The angle formed at the centre of the circle by lines originating from two points on the circle's circumference is double the angle formed on the circumference of the circle by lines originating from the same points. So

∠ BOC = 2 ∠ BDC , Substitute value from given diagram we get :

130° = 2 ∠ BDC ,

∠ BDC = 65° --- ( 1 )

And we know " An angle inscribed in a semicircle is always a right angle . " So

∠ ADB = 90° ,

∠ ADC + ∠ BDC = 90° ( From given diagram we get : ∠ ADB = ∠ ADC + ∠ BDC ) , Now substitute value from given diagram and from equation 1 we get :

x + 65° = 90° ,

x = 25