+0  
 
0
102
2
avatar

Hi, I posted a very similar question yesterday, I understand the steps for that one now (Thank you Cphill!) but I am really lost as how to approach this one. Yesterday the question was asking for the measure of angle t, and your explanation was well done, but unfortunately this one is trickier for me. Please help! (sorry for constantly asking, i'm learning.)

Guest Jan 31, 2018
Sort: 

2+0 Answers

 #1
avatar+85757 
+2

Actually....this one is a liitle easier.....

 

If you can envision this

 

Let's call the vertex of the 73°  angle "A," and from here,  "travel"  up to the vertex  of  angle z

 

Let us call the vertex of this angle "B"

 

And from this vertex "travel'  up to the  vertex of the 131°  angle....let's call this vertex "C"

 

Now....from this vertex "travel"  over to the vertex of the 42°  angle

 

Let's call this vertex  "D"

 

Now....from this vertex, "travel"  back to "A"

 

So.....we have a quadrilateral ABCD

 

And the sum of the interior angles of a quadrilateral = 360°

 

So....this implies that

 

Measure of A  + Measure of B + Measure of C + Measure of D  =  360

 

So  we have

 

73  +  z  +  131  +  42   =  360       simplify

 

246  + z   =  360       subtract 246 from both sides

 

z  =  114°

 

Don't worry about asking too many questions.. sometimes..it's the only way to learn....!!!

 

 

 

cool cool cool

CPhill  Jan 31, 2018
edited by CPhill  Jan 31, 2018
 #2
avatar
+1

Wow! I actually understood it that way! Thanks so much, you're the bomb cphil. smiley Have a great day :)

Guest Jan 31, 2018

24 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details