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3 years ago

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

Mathematics

1 answer:

noname [10]3 years ago

4 0

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°

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