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