If m∠BCD = 24° and mEFarc = 32°, determine mABDarc using the appropriate theorems and postulates.
mABDarc = ??
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Answer:
56 degrees
Step-by-step 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.