Question

Find 'K'in the given figure
K-15
k+150​

Answer 1

(i) In the fig. (i) :

K + 150° + k - 15° + 30° + 90° = 360°

(Angles at a point)

⇒ 2k + 150° + 90° + 30° - 15° = 360°

⇒ 2k + 270° - 15° = 360°

⇒ 2k = 360° - 270° + 15° = 105°

⇒ k = 105°/2 = 52.5° or 52° 30’

∴ k = 52.5° or 52° 30’