The statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.
<h3>What is an angle?</h3>
When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have:
∠A and ∠B are complements, while ∠B and ∠C are supplements.
∠A + ∠B = 90 degree
3x + 17 + 55 - x = 90
2x = 18
x = 9
Angle ∠B and angle ∠C are supplementary:
∠B + ∠C = 180
55 -x + 67(x/3 - 1) = 180
x = 9
Put the value of x and find angles A, B, and C.
m∠A = 44
m∠B = 46
m∠C = 134
∠A + ∠B = 90
∠B + ∠C = 180
The above statement is true.
Thus, the statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.
Learn more about the angle here:
brainly.com/question/7116550
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