sushipancake535 sushipancake535
  • 14-07-2021
  • Mathematics
contestada

In ⊙H, Arc I K ≅ Arc J K, mArc I K = (11x + 2)°, and mArc J K = (12x – 7)° What is the measure of Arc I J K?

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 21-07-2021

Answer:

202°

Step-by-step explanation:

Arc I K ≅ Arc J K, Given that mArc I K = (11x + 2)°, and mArc J K = (12x – 7)°. SInce Arc I K ≅ Arc J K, then;

(11x + 2)° = (12x – 7)°

Collect the like terms

11x - 12x = -7 - 2

-x = -9

x = 9

Arc IJK = 11x+2 + 12x - 7

Arc IJK = 23x-5

Arc IJK  = 23(9)-5

Arc IJK  = 207-5

Arc IJK  = 202°

Hence the measure of Arc IJK is 202°

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