Question

given: a circle with inscribed quadrilateral abcd. prove: ∠a and ∠c are supplementary. 1. let m\\(widehat{dcb}=a^{circ}\\). then m\\(widehat{dab}=\\) 90 - a 180 - a 360 - a

Explanation:

Step1: Recall circle - arc property

The sum of the measures of the arcs of a circle is 360°.

Step2: Identify related arcs

The arcs $\overset{\frown}{DCB}$ and $\overset{\frown}{DAB}$ together make up the entire circle. So, if $m\overset{\frown}{DCB}=a^{\circ}$, then $m\overset{\frown}{DAB}=360 - a^{\circ}$.

Answer:

$360 - a$