Question

Find m∠KHG. m∠IHG = 161° m∠IHK = (3x + 4)° m∠KHG = (7x + 7)°

Answer 1

Answer:

  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°