+0  
 
0
30
1
avatar+705 

In the diagram, \(\angle CBD = \angle CDB\), \(\angle ABP = 5x-7^\circ\), and \(\angle EDQ = 2x+11^\circ\). What is \(\angle ABD\) (in degrees)?

 

I got 153 but it was incorrect!

 
Lightning  Sep 14, 2018
edited by Lightning  Sep 14, 2018
 #1
avatar+26973 
+3

ABP = CBD  and EDQ = CDB so, because CBD = CDB we must have ABP = EDQ 

 

Hence 5x - 7 = 2x + 11  

           3x = 18

             x = 6°

 

Therefore ABP = 5*6 - 7 or ABP = 23°

 

ABP + ABD = 180°  so  ABD = 180 - 23  or  ABD = 157°

 
Alan  Sep 15, 2018

47 Online Users

avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.