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Sedaia [141]
3 years ago
14

PLEASE HELP solve for the value of x.

Mathematics
2 answers:
noname [10]3 years ago
5 0

Answer:

  • x = 8

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.

<u>So we have:</u>

  • m∠LOH = m∠KOI
  • m∠LOH = m∠KOJ + m∠JOI
  • 120 = (7x + 9) + (6x + 7)

<u>Solve for x:</u>

  • 13x + 16 = 120
  • 13x = 104
  • x = 104 / 13
  • x = 8
Aleks04 [339]3 years ago
3 0

\huge\mathcal\gray{Answer}

x = 8

\huge\it\blue{explaination}

120°=7x + 9 + 6x + 7

120° = 13x + 16

13x = 120 - 16

13x = 104

x = 8

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