ABCD, चक्रीय चतुर्भुज है, AB, वृत का व्यास है । यदि `angle ACD=50^(@)`है, तो `angle BAD` का माप है

Options

A. `130^(@)`
B. `40^(@)`
C. `50^(@)`
D. `140^(@)`

Answer

B

Explanation

ATQ
`angleACD = 50^(@)`
As we know that `angleACB= 90^(@)` (angle in semicircle)
`therefore` In cyclic quadrilateral (चकरिअ चतुर्भुज में )Sum of opposite angles is `180^(@)` (विपरीत कोदो का योग)

`angleC=140`
`therefore angleBAD = 180^(@)-140^(@)=40^(@)`