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
554
1
avatar+78 

In isosceles triangle $ABC$, angle $BAC$ and angle $BCA$ measure 35 degrees. What is the measure of angle $CDA$?

 

 Jun 29, 2018
 #1
avatar+104712 
+1

In triangle ABC  since angles BAC and BCA  = 35°

Then angle ABC  = 180  - 35  - 35   =  180 -70 =110°

 

And because ABC  is an inscribed angle....then the major arc it intercepts, ADC,  has twice its measure = 220°

 

 So  minor arc ABC  = 360 - 220  =  140°

 

And since  CDA is an inscribed angle  intercepting this arc, it has 1/2 of its measure = 

 

(1/2) 140   =  70°

 

 

 

cool cool cool

 Jun 29, 2018

15 Online Users

avatar