Answer:
x = 2
The smaller angle = 20
The larger angle = 70
Explanation:
1/4 of a circle is 90 degrees
90 = 10x+ 20x+30
Combine like terms
90 = 30x+30
Subtract 30 from each side
90-30 = 30x+30-30
60 = 30x
Divide each side by 30
60/30 = 30x/30
2= x
10x = 10*2 = 20
20x+30 = 20*2 + 30 = 30+30 = 70