Please Help me @CPhill

What is the value of n?

Enter your answer in the box.

n =

CD←→ is tangent to circle A at point B.

What is the measure of ∠ABD?

45º

60º

90º

180º

Guest Feb 21, 2018

#1**+2 **

We are using the intersecting chord theorem again....so we have that

8(n + 8) = 16(n + 2) divide both sides by 8

n + 8 = 2(n + 2) simplify

n + 8 = 2n + 4 subtract n, 4 from both sides

4 = n

For the second one.....when a radius meets a tangent at the point of tangency, the angle formed is 90°.....so angle ABD = 90°

CPhill
Feb 21, 2018