Question

If m∠BCD = 24° and mEFarc = 32°, determine mABDarc using the appropriate theorems and postulates.

mABDarc = ??

Answer 1

56 degrees

Explanation:

Ok, so we have all we need.

We first have the angle of BCD: 24 degrees.

We then have the arc of EF: 32 degrees.

From the supposition that the line between E and B is s traight, that forms a flat angle of 180 degrees.

We can then deduce the angle DCF:

We have the angle DCF (124 degrees) and we're looking for the complement formed by the angle ACD (forming arc ABD), so...

180 - 124 = 56 degrees for that ABD arc.