Quadrilateral ABCD is inscribed in circle O as shown below. which of the following would be used to find the measure of angle 3

Question

asked Oct 22, 2023 109k views

1 Answer

Irco · Answer 1 · 2023-10-29T02:32:59+0000

Answer:

180° -m∠1

Step-by-step explanation:

• Quadrilateral ABCD is a cyclic quadrilateral.

,

• The opposite angles of a cyclic quadrilateral add up to 180 degrees.

Therefore:

$\begin{gathered} m\angle3+m\angle1=180\degree \\ \implies m\angle3=180\degree-m\angle1 \end{gathered}$

Therefore, the second option would be used to find the measure of angle 3.