Question

Identify m∠JKL, given that JK is a tangent line. Help me please. I am so confused!

Answer 1

Step-by-step explanation:

its easy

join KM and MN and LN

it says , angle KMN =150°

and angle NML =140°

now JOin LN

since angle NML =140°

therefore angle NKL = 70°

similarly , angle KMN =150°

therefore angle KLN = 75 °

now in triangle KLN

angle K = 70 and angle L = 75

so , K+L+N =180°

70+75 +N =180

145 +N = 180

N = 35°

so angle KNL =35°

but we know , for any tangent

JKL = KNL

therefore JKL =35 °

so ,{ for shortcut you should remember that any triangle inside the circle with a tangent at one of its vertex subtend angle with side of triangle equal to opposite vertex angle }