Question

Can you help me solve (picture above)

A) x = 6, m< LMN = 138°
B) x = 3, m< LMN = 27°
C) x = 3, m< LMN = 24°
D) x = 6, m< LMN = 111°

Answer 1

A) x = 6, m∠LMN = 138°

Explanation:

∠LMO = ∠NMO

15x - 21 = x + 63

15x - x = 63 + 21

14x = 84

x = 84/14

x = 6

∠LMN = ∠LMO + ∠NMO

∠LMN = 15x - 21 + x + 63

∠LMN = 15(6) - 21 + 6 + 63

∠LMN = 138°