Question

Find the measure of arc CD in p​

Answer 1

Question :-

Find the measure of arc CD in P.

___________________

Solution :-

Given Information :-

• Arc TC = 123°
• Arc TCD = 180° ( Reason :- Arc TCD is the diameter of circle )
• Arc BT = 90°

To Find :-

• Measure of Arc CD

Calculation :-

Because Arc TC and Arc CD comprise the Arc TCD,

⇒ Arc TC + Arc CD = Arc TCD

Substituting the values given, We get,

⇒ 123° + Arc CD = 180° ( Reason :- Arc TCD is the diameter of circle )

Now, Transposing 123° to Right Hand Side, We get,

⇒ Arc CD = 180° - 123°

⇒ Arc CD = 57°

∴ Arc CD = 57°

____________________

Final Answer :-

Arc CD measures 57°

____________________

Answer 2

9514 1404 393

Answer:

57°

Explanation:

TD is a diameter, so arc TCD is 180°. Then arc CD is ...

CD = arc TCD -arc TC

CD = 180° -123°

arc CD = 57°