Answer:
<A = 30°.
Step-by-step 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,
[tex]3x - 6 + 8x + 4 + 50 = 180 \\ \\ 11x + 48 = 180 \\ \\ 11x = 132 \\ \\ x = 12[/tex]
So, Putting x = 12 in 3x - 6,
[tex]3 \times 12 - 6 \\ \\ = 36 - 6 \\ \\ = 30[/tex]
Thus , <A = 30°.
