Question

What’s the value of k?

Answer 1

The value of k is 10°

Explanation:

Assuming that straight line is 180°. First, you have to find the angle of ZYX by subtracting 115° from 180° :

∠ZYX = 180° - 115° = 65°

Given that total angles in a triangle is 180°. So you have to add up all the angles in the triangle in terms of k :

∠XZY + ∠ZYX + ∠ZXY = 180°

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

10k + 80 = 180

10k = 180 - 80

10k = 100

k = 100 ÷ 10

k = 10

Answer 2

Answer: k = 5°

Explanation:

1. A triangle adds up to 180°. Therefore, the equation is 115 + (4k + 5) + (6k + 10) = 180.
2. Remove the parenthesis and combine the like terms. 115 + 5 + 10 = 130 and 4k + 6k = 10k. The equation simplifies to 130 + 10k = 180.
3. Subtract 130 on both sides. 10k = 50
4. Divide by 10 on both sides. k = 5