Question

the figure is not drawn to scale. ∠abd is a right angle. find m∠abc.

m∠abc =
____ °

enter the answer

Explanation:

Step1: Recall right - angle property

A right - angle measures 90°. So, \(m\angle ABD=90^{\circ}\).

Step2: Use angle addition

We know that \(\angle ABD=\angle ABC+\angle CBD\). Given \(m\angle CBD = 31^{\circ}\). Then \(m\angle ABC=m\angle ABD - m\angle CBD\).

Step3: Substitute values

\(m\angle ABC=90^{\circ}-31^{\circ}\).
\(m\angle ABC = 59^{\circ}\)

Answer:

59