Answer:
x = 61°
Step-by-step explanation:
The triangle sum theorem states that all 3 angles in any triangle must add up to 180°. Because we have a 90° angle and a 29° angle, we can set up this equation:
Let unknown angle = x
x = 180 - (90 + 29)
x = 180 - 119
-3 ≤ 6x - 6 < 39 (seperate into two inequalities)
6x - 9 ≥ -3
6x - 9 < 39 (solve the inequalities)
x ≥ 1
x < 8 (find the intersection)
x ∈ { 1 , 8 }
8