Question

Please help anyone, if you can explain how to find it thatd be even better!!

Answer 1

<A = 120°

Explanation:

To find m<A, the first step will be to find the m<B. To do this, we will use the law of sines. According to the law of sines,
`(b)/(sinB) =(c)/(sinC)`. In the problem shown, b (the side opposite of <B) is 8, c (the side opposite of <C) is also 8, and C=30°. Now, let's plug in the values we know into the law of sines.

`(b)/(sinB) =(c)/(sinC)\\\\(8)/(sinB)=(8)/(sin30)\\`

In this case, we don't even need to solve any further, as it's obvious that B will be equal to 30°. Now, the last step is the find m<A. To do this, we will remember that all angles of a triangle total 180°.

<A + <B + <C = 180°

<A + 30° + 30° = 180°

<A + 60° = 180°

<A = 120°

So, the measure of <A is 120°.

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Answer 2

It’s 120

since the side of AB and AC are the same (8) the angles of those side would two sides would also be the same. Side Ab has an angle of 30° ( to find the angle of a side just look at the opposite angle) and because of that the side of Ac would also be 30. Add those two angle together we get 60°. The overall angle of a triangle is 180 and we know there are three angles in a triangle we already have two (30 and 30) which means 180-30+30 would give you third angle. 180-60 = 120