what is M/_ ADC
Consider Triangles AOD and COD
Lengths of the tangents --- DA = DC, AO = CO ( Radii of the same circle )
Angle OAD = Angle OCD
Hence the two triangles are Equal.
=> Angle ADO = Angle CDO and also
Angle AOD = Angle COD = 114/2 = 57 degree
Hence Angle ADO = 90 - 57 = 33 degree
There fore Angle ADC = 2 * 33 = 66 degree .............. Answer
In the given circle, m Arc AC = 114°.
What is the m ∠ADC
Answer choice:
C 123°
The measure of an exterior angle formed by two tangents is half the difference of the measures of its intercepted arcs. 360 - 114 = 246 so that's the measure of major arc AC. So subtract the two arc measures then divide by 2.
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Consider Triangles AOD and COD
Lengths of the tangents --- DA = DC, AO = CO ( Radii of the same circle )
Angle OAD = Angle OCD
Hence the two triangles are Equal.
=> Angle ADO = Angle CDO and also
Angle AOD = Angle COD = 114/2 = 57 degree
Hence Angle ADO = 90 - 57 = 33 degree
There fore Angle ADC = 2 * 33 = 66 degree .............. Answer
In the given circle, m Arc AC = 114°.
What is the m ∠ADC
Answer choice:
C 123°
The measure of an exterior angle formed by two tangents is half the difference of the measures of its intercepted arcs. 360 - 114 = 246 so that's the measure of major arc AC. So subtract the two arc measures then divide by 2.