Question

In the given figure, the angle subtended by the major arc is

• A. ${90}^0$
• B. ${270}^0$
• C. ${45}^0$
• D. ${180}^0$

Answer 1

The correct option is B ${270}^0$

In the given figure, Minor arc is AGB and the Major arc is AHB.
Hence, according to the figure the angle subtended by the minor arc AGB is ${90}^0$.
$\because$ A circle has a total of 360 degrees all the way around the center.
$\therefore$ [Angle subtended by the minor arc AGB + Angle subtended by the major arc AHB] = ${360}^0$
$\Rightarrow$ ${90}^0$ + Angle subtended by the major arc AHB = ${360}^0$
$\Rightarrow$ Angle subtended by the major arc AHB = ${360}^0-{90}^0={270}^0$
Hence, Angle subtended by the major arc AHB = ${270}^0$