Question

Please help! I need this paper done before my class tomorrow! Thank you!

Answer 1

x = 7

m < LMN = 130 degrees.

Explanation:

13x - 31 = x + 53 (because these 2 angles are congruent).

13x - x = 53 + 31

12x = 84

x = 7.

and

m< LMN = 2 * m < MNO

= 2 * (7 + 53)

= 2 * 60

= 120 degrees.

Answer 2

x=7 and m<LMN = 120

Explanation:

if MO bisects LMN then 13x - 31 must be equal to x + 53

13x - x = 53 + 31

12x = 84

x = 7

and

13x - 31 + x + 53 = m<LMN

14x + 22 = m<LMN

since x is 7

14×7 + 22 = 120