In \(\Delta ABC\), \(\angle A = (3x-7)^\circ,\ \angle B = 2\angle A\) and \(\angle C = (4x+6)^\circ\). Find the value of \(\angle A+\angle C\).
104°
Sum of angles: \((3x-7)+2(3x-7)+(4x+6) = 180\).
\(3(3x-7)+(4x+6) = 180 \Rightarrow 9x-21+4x+6 = 180 \Rightarrow 13x-15=180 \Rightarrow x=15\).
Angle A: \(3(15)-7 = 38\)°. Angle C: \(4(15)+6 = 66\)°.
Sum: \(\angle A+\angle C = 38+66 = 104\)°.
Hence, the value of \(\angle A+\angle C\) is 104°.
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