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if ∠b and ∠x are supplementary and m∠b = 34°, solve for m∠x. draw show …

Question

if ∠b and ∠x are supplementary and m∠b = 34°, solve for m∠x. draw show your work here m∠x =

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180°. So, \(m\angle b + m\angle x=180^{\circ}\).

Step2: Substitute the given value of \(m\angle b\)

Given \(m\angle b = 34^{\circ}\), we have \(34^{\circ}+m\angle x = 180^{\circ}\).

Step3: Solve for \(m\angle x\)

\(m\angle x=180^{\circ}-34^{\circ}=146^{\circ}\).

Answer:

\(146^{\circ}\)