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A circle is centered on point B. Points A, C and D lie on its circumference. 

If ∠ADC measures 23 degree, what does ∠ABC measure?

 Jul 20, 2019

Best Answer 

 #1
avatar+8964 
+5

 

An inscribed angle is half the measure of its intercepted arc, so

 

m∠ADC  =  (1/2)(m∠ABC)

                                              Substitute  23°  in for  m∠ADC

23°  =  (1/2)(m∠ABC)

                                              Multiply both sides by  2

46°  =  m∠ABC

 Jul 20, 2019
 #1
avatar+8964 
+5
Best Answer

 

An inscribed angle is half the measure of its intercepted arc, so

 

m∠ADC  =  (1/2)(m∠ABC)

                                              Substitute  23°  in for  m∠ADC

23°  =  (1/2)(m∠ABC)

                                              Multiply both sides by  2

46°  =  m∠ABC

hectictar Jul 20, 2019
 #2
avatar
+1

thanks!

Guest Jul 20, 2019

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