Question

1.In the following,O is the centre of the circle. The value of x is
(A) 45°
(B) 65°
(C) 85°
(D) 95°​

Answer 1

Option c because sum of triangle is 180 and 50+45=95 so, 180-95=85

Answer 2

Answer:

65

Step-by-step explanation:

in triangleAOB and triDOC

angle AOB =angle DOC (common vertex )

angle A=angle D

according to AA similarity triangleAOB similar to triangle DOC

Angle D=50 (angle A = angle D)

in triangle DOC

angle D + angle O +angle C= 180 ( sum of angles in triangle )

let,

angle O and C be x

50 + x +x =180

50 + 2x = 180

2x = 180 - 50

2x = 130

x = 130 / 2

x = 65

therefore , angle DCO =65