Discussion
The difference between two supplementary angles is 20°. If the smaller of these angles is p, then the value of 3p - 50° is :
Answer: D
The value of 3p - 50° is 190°.
Supplementary angles add up to 180°. With the larger angle L and the smaller p:
\[ \begin{aligned} L + p &= 180^{\circ},\quad L - p = 20^{\circ} \\ 2p &= 160^{\circ} \Rightarrow p = 80^{\circ} \\ 3p - 50^{\circ} &= 240^{\circ} - 50^{\circ} = 190^{\circ} \end{aligned} \]
Using the larger angle (100°) gives 250°, option C. 310° and 270° do not come from either angle.
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