Question

MO bisects LMN mLMN = 8x-23 and mLMO= 2x+37 solve for x and find LMN

Answer 1

see explanation

Explanation:

Since MO bisects ∠ LMN then

∠ LMO and ∠ NM0 are congruent, thus

∠ LMN = ∠ LMO + ∠ NMO , substitute values

8x - 23 = 2x + 37 + 2x + 37 = 4x + 74 ( subtract 4x from both sides )

4x - 23 = 74 ( add 23 to both sides )

4x = 97 ( divide both sides by 4 )

x = 24.25

Thus

∠ LMN = 8x - 23 = 8(24.25) - 23 = 194 - 23 = 171°