Question

pls explain this answer and solve it​

Answer 1

hey mate!!!

construction: join point M and N and draw side MN of the ∆ LMN

arc MN= 2× angle MLN....... ( intercepted arc)

arc MN= 2× 50= 100°

now,

a complete circle has an arc of measure 360°....(2)

in ∆ LMN,

angle LMN= 90°......(inscribed angle in a semicircle)

therefore,

arc LM= 180°.....(measure of a semicircular arc)

therefore,

arc LMN= arc LM + arc MN

= 180°+ 100°

= 280°

so the correct option is option 3) 280°

hope it helps!! thanks for asking! ❤✌☺