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  
 
+1
212
2
avatar+64 

Find the measure of angels 1, 4, & 5  

https://uk.answers.yahoo.com/question/index?qid=20180514000823AA94xik

ps: Forget the ones that are circled that are number! 

 Jun 7, 2018
 #1
avatar+101371 
+2

Since arc SN  =  60°, the  angle 8  = 1/2 of this  = 30°

 

And arcs  SN, SQ, QP  and PN  sum  to 360°....so

 

SN   + SQ   + QP + PN

(60)  + ( x)  + (x + 40)  + (2x  - 16)  = 360      simplify

84  + 4x  = 360    subtract 84 from both sides

4x  = 276       divide both sides  by 4

x = 69°

 

So... arc QP  = x + 40  =  69 + 40  =  109

And angle 7  is 1/2 of this  = 54.5°

 

So  angle  6  = [ 180  - angle 8 - angle  7  ]  =   [ 180 - 30  - 54.5  ]  = 95.5°   

And since angle 5  is vertical to angle 6, its measure is also  95.5°

 

 

And angle  4 is supplemental to angle 6  so its measure is  180 - 95.5   = 84.5°

 

And angle 1  will have 1/2 the measure  of  the sum  of arcs SN and SQ =

 

(1/2)(60 + 69)   =

(1/2)(129)  =

64.5°

 

 

cool cool cool

 Jun 7, 2018
 #2
avatar+64 
+2

Thanks 

THEMAN31  Jun 7, 2018

8 Online Users