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3 years ago

Solve for the value of k

Mathematics

2 answers:

anygoal [31]3 years ago

5 0

Notice that if we add the 3 angles in the image, the outcome should be an angle of 180° (the one of the line alone)

With this, we will found that the answer is k = 13

Let's do the math, for the initial information we can write:

(4k - 7)° + 90° + (3k + 6°) = 180°

Where the 90° comes from the right angle, the one written with a little square.

Now we can solve this for k

(4k - 7)° + 90° + (3k + 6°) = 180°

(4k + 3k)° + (-7° + 90° + 6°) = 180°

7°k + 89° = 180°

7°k = 180° - 89° = 91°

k = 91°/7° = 13

So we found that the value of k is 13.

If you want to learn more, you can read:

brainly.com/question/13690593

Katarina [22]3 years ago

4 0

Answer:

4k-7 + 3k+ 6 = 90

7k -1 = 90

7k = 91

k=13

Step-by-step explanation:

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Step-by-step explanation:

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