Question

PLEASEE HELP!!!! WILL MARK BRAIN(show work please)

Answer 1

<A = 30°.

Explanation:

Name the triangle ABC.

Here, <B is forming linear pair with 130°.

Thus <B = 180 - 130 = 50°

<C is oppsite angle to 8x - 4.

Thus, <C = 8x - 4

We know that sum of angles of triangle is 180°.

THUS,

`3x - 6 + 8x + 4 + 50 = 180 \\ \\ 11x + 48 = 180 \\ \\ 11x = 132 \\ \\ x = 12`

So, Putting x = 12 in 3x - 6,

`3 * 12 - 6 \\ \\ = 36 - 6 \\ \\ = 30`

Thus , <A = 30°.