Question

if ∠c and ∠b are supplementary and m∠c = 35°, solve for m∠b. draw show your work here m∠b =

Explanation:

Step1: Recall supplementary - angle property

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

Step2: Substitute the value of \(m\angle c\)

Given \(m\angle c = 35^{\circ}\), we have \(m\angle b+35^{\circ}=180^{\circ}\).

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

\(m\angle b=180^{\circ}- 35^{\circ}=145^{\circ}\).

Answer:

\(145^{\circ}\)