Question

What is the value of K

Answer 1

k = 10

Explanation:

We first have to get the 3rd angle: 180 - 115 = 65

Sum of angles in a triangle = 180

65 + (4k + 5) + (6k + 10) = 180

Collect like terms

65 + 10k + 15 = 180

80 + 10k = 180

Subtract 80 from both sides

10k = 100

Divide both sides by 10

k = 10