Find m∠khg.

m∠ihg = 161°
m∠ihk = (3x + 4)°
m∠khg = (7x + 7)°

  112°

Step-by-step explanation:

The sum of the two smaller angles is equal to the larger one:

  (3x +4)° +(7x +7)° = 161°

  10x +11 = 161 . . . . . . . . . . collect terms, divide by °

  10x = 150 . . . . . . . . . . . . .subtract 11

  x = 15  . . . . . . . . . . . . . . . divide by 10

m∠KHG = (7x +7)° = (7·15 +7)° . . . . . substitute the found value of x

m∠KHG = 112°

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