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Murljashka [212]
3 years ago
13

The third angle of a triangle is the same size as the first. The second angle is 4 times the third. Find the measure of angles.

Mathematics
1 answer:
Marta_Voda [28]3 years ago
3 0

Answer:

1st angle 30°

2nd angle 120°

3rd angle 30°

Step-by-step explanation:

Let's call

A = 1st angle

B = 2nd angle

C = 3rd angle

In every triangle it holds

A + B + C = 180°

Now, if the third angle of the triangle is the same size as the first

A = C

If the second angle is 4 times the third

B = 4C

we have then

C + 4C + C = 180° ===> 6C = 180° ===> C = 30°

If C = 30° then A = 30° and B = 120°

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Answer:

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Step-by-step explanation:

Hi, to answer this question we have to isolate y:

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Feel free to ask for more if needed or if you did not understand something.

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