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

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