2 years ago

What is the value of k?

Mathematics

2 answers:

ELEN [110]2 years ago

4 0

Answer:

10°

Step-by-step explanation:

According remote interior angles, 4k + 5 + 6k + 10 = 115.

10k + 15 = 115

10k = 100

k = 10

Hope this helps :)

Have a nice day!

Marrrta [24]2 years ago

3 0

Answer:

k = 10°

Step-by-step explanation:

According to the exterior angle theorem, the exterior angle will be equal to the two opposite inside angles added together. It will look like the following, and we solve for <em>k </em>from there.

115° = (4k + 5)° + (6k + 10)°

115° = 4k° + 5° + 6k° + 10°

115° = 6k° + 4k° + 10° + 5°

115° = 10k° + 15°

100° = 10k°

10° = k

k = 10°

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