Question

What is the value of k? please answer fast

Answer 1

= 10

Angle (4+5) equals 45 degrees
Angle (6+10) equals 70 degrees
The third angle is 65 degrees because 180 degrees minus 115 degrees is 65 degrees

To proof check:

45+70+65= 180 degrees

And the sum of the interior angles of a triangle is 180 degrees

Answer 2

k = 10

Explanation:

The external angle of a triangle is equal to the two opposite interior angles.

∠MYZ is an exterior angle of the triangle, thus

4k + 5 + 6k + 10 = 115, that is

10k + 15 = 115 ( subtract 15 from both sides )

10k = 100 ( divide both sides by 10 )

k = 10