desirayjt
desirayjt
24-09-2017
Mathematics
contestada
What is the value of k?
Pls help
Respuesta :
ruhibreddy
ruhibreddy
24-09-2017
Thanks for your question!
We know the third angle in the triangle is 65 because it is a linear pair. We also know that all the angles in a triangle adds up to 180. So:
4k + 5 + 6k + 10 = 180 - 65
10k + 15 = 115
10k = 100
k = 10
Hope this helped!
Answer Link
kphung76127
kphung76127
24-09-2017
First let's find the value of the interior angle of the traingle at point Y.
The angles form a straight angle (180 degrees)
115+x=180
x= 65
All three interior angles of a triangle must add to 180 degrees.
65+ (6k+10)+(4k+5)=180
Combine like terms
80+10k=180
Subtract 80 from both sides
10k=100
Divide both sides by 10
k=10
Final answer: k=10
Answer Link
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