jvbeverly2862 jvbeverly2862
  • 22-04-2020
  • Mathematics
contestada

Find the value of x.


m∠IHG = 162°

m∠IHK = (4x + 4)°

m∠KHG = (8x + 2)°

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aabdulsamir
aabdulsamir aabdulsamir
  • 26-04-2020

Answer:

1

Step-by-step explanation:

<IHG = 162

<IHK = 4x + 4

<KHG = 8x + 2

<IHG + <IHK + <KHG = 180° (sum of angles in a triangle is equal to 180°)

See attachment for better illustration of the triangle

162 + (4x + 4) + (8x + 2) = 180

162 + 4x + 4 + 8x + 2 = 180

168 + 12x = 180

Collect liketerms

12x = 180 - 168

12x = 12

x = 1

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