Question

PLEASE HELP
solve for the value of x.

Answer 1

• x = 8

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