Question

Solving for Angle Measures
What is the value of K?
1 15°
(4k+5)°
(6k + 10)

Answer 1

`k=10`

Explanation:

see the attached figure to better understand the problem

we know that

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

so

In this problem

`(4k+5)\°+(6k+10)\°=115\°`

Solve for k

Combine like terms

`(10k+15)=115`

subtract 15 both sides

`(10k+15)-15=115-15`

`10k=100`

`k=10`