Question : In a Rhombus STUV, S and U are joined $\angle \text{SUV}=44^{\circ}, \angle \text{STU}=92^{\circ}$, what is the degree measure of $4 \angle SVU-3 \angle TSU$?
Option 1: $451^{\circ}$
Option 2: $360^{\circ}$
Option 3: $169^{\circ}$
Option 4: $236^{\circ}$
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Correct Answer: $236^{\circ}$
Solution :
$\angle SUV = \angle TSU = 44°$ [Alternate angles]
and $\angle STU = \angle SVU = 92°$ [opposite angles of Rhombus are equal]
$\therefore$ $4 \angle SVU-3 \angle TSU$
$ = 4\times 92° - 3\times 44°$
$= 368°-132°$
$= 236°$
Hence, the correct answer is $236^{\circ}$.
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