Given: AB and BC are tangents of D and the m

Question

Given: AB and BC are tangents of D and  the m<ACD=15.
What is the measure of <ABC?

anonymous · Answer

attachment

mosaic · Answer

Since BC is a tangent angle DCB = 90 degrees.
Angle ACD = 15.  What is angle ACB?

anonymous · Answer

idk thats all the information i have /.\

mosaic · Answer

From the two numbers I wrote above you can first find angle ACB.  Then I will tell you how to find angle ABC.

anonymous · Answer

okay are u gonna work it out for me ? :)

mosaic · Answer

angle ACB = angle DCB - angle ACD = 90 - 15 = 75
Angle CAB is also 75 degrees.
Angle ACB + Angle CAB = 75 + 75 = 150 degrees.
Can you now find angle ABC?
(Remember, the three angles of a triangle add up to 180 degrees.  Two of them here add to 150 degrees.  Therefore, the third angle must be ....?)

anonymous · Answer

30?

mosaic · Answer

Yes.

anonymous · Answer

yayy thanks :)

mosaic · Answer

yw :)