Answer:
44°
Step-by-step explanation:
Note that the square in located to the left of the two given intersecting lines denotes that it is a right angle, in which the measurements is 90°.
This means that:
∠α + ∠β = 90°
Let:
m∠α = x
m∠β = 46°
Plug in the corresponding numbers and variable to the given terms:
x + 46 = 90
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 46 from both sides:
x + 46 (-46) = 90 (-46)
x = 90 - 46
x = 44
x = 44° is your answer.
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