Given:
m(ar LNM) = 280°
To find:
The value of y.
Solution:
Complete angle = 360°
m(ar LNM) + m(ar LM) = 360°
280° + m(ar LM) = 360°
Subtract 280° from both sides.
280° + m(ar LM) - 280° = 360° - 280°
m(ar LM) = 80°
Inscribed angle is equal to the half of the intercepted arc.
[tex]$\Rightarrow \angle LNM = \frac{1}{2} m (ar\ LM )[/tex]
[tex]$\Rightarrow y= \frac{1}{2}(80^\circ )[/tex]
[tex]$\Rightarrow y= 40^\circ[/tex]
The value of y is 40 degrees.
