Question 171999
x=larger angle

1/3x+7=smaller angle

x+1/3x+7=143

Subtract 7 from both sides


x+x1/3=136

1+1/3=4/3

4/3x=136


multiply each side by 3/4


x=(136)(3/4)

x=102

Let's doublecheck our answer

smaller angle is (1/3)(102)+7=41


102+41=143