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4 years ago

What’s the value of k?

Mathematics

2 answers:

svetoff [14.1K]4 years ago

7 0

Answer: k = 5°

Step-by-step explanation:

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

Mrac [35]4 years ago

4 0

Answer:

The value of k is 10°

Step-by-step 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

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4 years ago

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