Question

calculate the value of x​

Answer 1

Answer:

x = 45°

Step-by-step explanation:

105°  + ∠NMC = 180° [Linear  pair]

or, ∠NMC = 180 - 105

or, ∠NMC  = 75

Therefore, ∠NMC = 75°

Now, In Triangle NMC,

60° + 75° + x= 180° [Sum of interior angles of a Triangle is 180°]

or, x = 180 - 135

or, x = 45

So, x = 45°