Hello from MrBillDoesMath!
Answer:
35 degrees
Discussion:
The angle shown is a right angle. That is, it contains 90 degrees. So we need to solve
90 = 7x + 11x => as 7x + 11x = 18x
90 = 18x => divide both sides by 18
x= 90/18 = 5
The measure of the smaller angle is 7x = 7(5) = 35
Thank you,
MrB
