Question

if (mangle cbd = 80) and (mangle abd = 121), find (mangle abc).

Explanation:

Step1: Identify angle - relationship

We know that \(\angle ABD=\angle ABC+\angle CBD\).

Step2: Rearrange the formula to find \(\angle ABC\)

\(m\angle ABC=m\angle ABD - m\angle CBD\).

Step3: Substitute the given values

Substitute \(m\angle ABD = 121\) and \(m\angle CBD=80\) into the formula. So \(m\angle ABC=121 - 80\).

Step4: Calculate the result

\(m\angle ABC = 41\).

Answer:

\(41\)