Question

What is the value of k?

help!!!!

Answer 1

k = 10°

Explanation:

`{115}^(o) = {(4k + 5)}^(o) + {(6k + 10)}^(o) \\`

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

`{115}^(o) = {(4k + 5)}^(o) + {(6k + 10)}^(o) \\ {115}^(o) = 4k + 5 + 6k + 10 \\ {115}^(o) = 10k + 15 \\ {115}^(o) - 15 = 10k \\ {100}^(o) = 10k \\ (100)/(10) = k \\ {10}^(o) = k \\`