We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
186
2
avatar

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+8829 
+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+8829 
+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

21 Online Users

avatar
avatar
avatar