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given: ∠a = 6x + 20 ∠b = 4x - 1 select the true statement below. 6x + 2…

Question

given: ∠a = 6x + 20 ∠b = 4x - 1 select the true statement below. 6x + 20 = 4x - 1 6x + 20 + 4x - 1 = 180 6x + 20 + 4x - 1 = 90

Explanation:

Step1: Identify angle relationship

Since $\angle A$ and $\angle B$ are complementary (form a right - angle as indicated by the right - angle symbol in the diagram), the sum of their measures is 90 degrees.

Step2: Set up the equation

We know that $\angle A+\angle B = 90$. Substituting $\angle A=6x + 20$ and $\angle B = 4x-1$ into the equation, we get $(6x + 20)+(4x-1)=90$.

Answer:

$6x + 20+4x - 1=90$