Question

What is the value of k?

Answer 1

The answer is 10. 
I hope this helps!!! ^^

Answer 2

Answer:

$\boxed{\boxed{k=10}}$

Step-by-step explanation:

Triangle Exterior Angle Theorem-

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Applying this on triangle XYZ, we get

$m\angle ZYM=m\angle YZX+m\angle YXZ$

putting the given values,

$\Rightarrow 115=(4k+5)+(6k+10)$

$\Rightarrow 4k+5+6k+10=115$

$\Rightarrow 10k+15=115$

$\Rightarrow 10k=115-15$

$\Rightarrow 10k=100$

$\Rightarrow k=10$