Answer:
Step-by-step explanation:
Let the center be O.
LOH and KOI are congruent as vertical angles.
Angle measure of KOI is the sum of KOJ and JOI.
mKJ = m∠KOI as central angle has same value as intercepted arc.
So we have:
- m∠LOH = m∠KOI
- m∠LOH = m∠KOJ + m∠JOI
- 120 = (7x + 9) + (6x + 7)
Solve for x:
- 13x + 16 = 120
- 13x = 104
- x = 104 / 13
- x = 8
