Question

What is the value of k? Pls help

Answer 1

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 2

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!