Discussion
If (3x − 30°) and (2x + 20°) are two supplementary angles, then the value of (2x − 4°) is :
Answer: A
The value of \((2x - 4^\circ)\) is 72°.
Supplementary angles add up to 180°.
\[ \begin{aligned} (3x - 30^\circ) + (2x + 20^\circ) &= 180^\circ \\ 5x - 10^\circ &= 180^\circ \\ x &= 38^\circ \\ 2x - 4^\circ &= 76^\circ - 4^\circ = 72^\circ \end{aligned} \]
76° is \(2x\) before subtracting 4°. Treating the angles as complementary (sum 90°) gives \(x = 20^\circ\) and a value of 36°, which is not offered.
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