Question

find the value of x in adjacent figure​

Answer 1

if it is complementary

$90 - x$

if it is supplementary

$180 - x$

Answer 2

Answer:

(Theorem:- The angle subtended by an arc at the centre of a circle is double the angle subtended by it at any point on the remaining circle.)

Given: <ACB = 40

By the theorem angle made by the arc AB at the centre

<AOB = 2 <ACB = 2 x 40 = 80

= x + <AOB = 360

∴ x = 360 - 80 = 280