Question

What is the value of k?​

Answer 1

k = 10

Explanation:

∡ZYX = 180° - 115° = 65° (angles in a line add up to 180°)

*∡ stands for angle.

∑ of ∡Z , Y and X should be equal to 180° (angles in a triangle add up to 180°)

∴ (4k + 5)° + 65° + (6k + 10)° = 180°

10k + 80 = 180

10k = 100

k = 100 ÷ 10 = 10