Solution:
We can see that the 90° angle is divided into two angles. Thus, the sum of two angles must equal 90°.
Combine like terms:
- => 90 = x(5 + 1) + 5(5 + 1)
- => 90 = x(6) + 5(6)
- => 90 = 6x + 30
Subtract 30 both sides:
- => 90 - 30 = 6x + 30 - 30
- => 60 = 6x
Divide 6 both sides:
- => 60 = 6x
- => x = 60/6 = 10
The value of x is 10.