Question

In a circle, the major arc is twice the minor arc.The corresponding central angles of the two arcs respectively, are

Answer 1

The major arc subtends angle $2x$ and the minor arc subtends angle $x$

Since the length of arcs depend upon the angle subtended at the centre

$2x+x={36}^o$(complete angle)

$3x={120}^o\times 3$

$x={120}^o$

Hence major arc subtends ${240}^o$ and minor arc subtends ${120}^o$