Question

- If MML = (11x - 5), mJK = (4x + 26)° and mZMNL = (10x – 12),



find mZMNL.

Answer 1

m∠ MNL = 78º

Explanation:

Arcs meassures

mML = (11x - 5)º

mJK = (4x + 26)°

Angle meassure

m∠MNL = (10 x – 12)º

______________________

angle measure = average of arcs

m∠MNL = (mML+ mJK)/2

Replacing

(10x – 12)º = ((11x - 5)º + (4x + 26)° )/ 2

10x -12 = (15x + 21 )/2

10x - 7.5x = 10.5 + 12

2.5x = 22.5

x= 9

m∠MNL = (10 x – 12)º

= 90 - 12

= 78º