Question

In the figure below, BA is perpendicular to Line I. 37 B What is the measure of Z ABC ? 37

Answer 1

Notice that the measure of the angle DBA is 127º, since its measure is equal to 90º plus 37º.

On the other hand, the angles ABC and DBA are supplementary angles, since they sum to 180º. Then:

`\begin{gathered} m\angle ABC+m\angle DBA=180 \\ \Rightarrow m\angle ABC+127=180 \\ \Rightarrow m\angle ABC=180-127 \\ \therefore m\angle ABC=53 \end{gathered}`

Therefore, the measure of the angle ABC is:

`53º`