Answer:
x = 19
<6 = 109
<7 = 109
Explanation:
Angles 6 and 7 are vertical angles so they are equal
7x -24 = 5x+14
Subtract 5x from each side
7x-5x -24 = 5x-5x+14
2x-24 = 14
Add 24 to each side
2x-24 +24 = 14+24
2x = 38
Divide by 2
2x/2 = 38/2
x = 19
<6 = 7x -24 = 7*19 -24 = 109
<7 = 5(19)+14 = 109