209k views
0 votes
Find m∠KHG.

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

Find m∠KHG. m∠IHG = 161° m∠IHK = (3x + 4)° m∠KHG = (7x + 7)°-example-1
User Aschmied
by
6.9k points

2 Answers

4 votes

Answer:

It’s A. 112

Explanation:

User Svintus
by
7.3k points
2 votes

Answer:

112°

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°

User Danuofr
by
8.0k points