Question

I’m not sure how to complete this if anyone can solve it for me

Answer 1

Answer:  AD = 108

               BD = 105

             ADB = 213

             ABC = 182

Step-by-step explanation:

If no radius is given, assume it is length 1.

Then, the length of the arc is equal to the central angle.

Reminder that a circle is 360°

$\bold{\underline{\stackrel\frown{AD}:}}$

The central angle = 108°, so the arc length = 108

$\bold{\underline{\stackrel\frown{BD}:}}$

BD = BC + CD

     = 35° + 70°

     = 105°

The central angle = 105°, so the arc length = 105

$\bold{\underline{\stackrel\frown{ADB}:}}$

ADB = AD + CD + BC

     = 108° + 70° + 35°

     = 213°

The central angle = 213°, so the arc length = 213

$\bold{\underline{\stackrel\frown{ABC}:}}$

First, find the angle of AB.

AB = 360° - ADB  

     = 360° - 213°      

     = 147°

ABC = AB + BC

     = 147° + 35°

     = 182°

The central angle = 182°, so the arc length = 182