PQRST is a regular pentagon and PQVU is a rectangle with ...
PQRST is a regular pentagon and PQVU is a rectangle with U and V lying on TS and SR respectively as shown in the diagram. Calculate TUP
18o
54o
90o
108o
Correct answer is B
The total angle in a regular pentagon = (2(5)−4)×90
= 6 \times 90 = 540°
Each interior angle = \frac{540}{5} = 108°
While the interior of a quadrilateral = \frac{360}{4} = 90°
PTU + TPU + TUP = 180°
108° + (180° - 90°) + TUP = 180°
TUP = 180° - (108° + 18°) = 54°
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