92.6k views
0 votes
What is the value of k?​

What is the value of k?​-example-1
User Danniella
by
5.0k points

1 Answer

2 votes

Answer:

k = 10

Explanation:

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

∠ZYM is an exterior angle and

∠YZX and ∠ZXY are the 2 opposite interior angles, hence

4k + 5 + 6k + 10 = 115

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

10k = 100 ( divide both sides by 10 )

k = 10

User Herby
by
5.1k points