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 = \((2(5) - 4) \times 90\)
= \(6 \times 90 = 540°\)
Each interior angle = \(\frac{540}{5} = 108°\)
While the interior of a quadrilateral = \(\frac{360}{4} = 90°\)
\(PTU + TPU + TUP = 180°\)
\(108° + (180° - 90°) + TUP = 180°\)
\(TUP = 180° - (108° + 18°) = 54°\)
Similar Questions
In the diagram above; O is the centre of the circle and |BD| = |DC|. If ∠DCB = 35°, find &an...
A woman buys 270 oranges for N1800.00 and sells at 5 for N40.00. What is her profit? ...
If sin θ = - \(\frac{3}{5}\) and θ lies in the third quadrant, find cos&...
Calculate the volume of the regular three dimensional figure drawn above, where < ABC = 90° (...
Simplify: 11011\(_2\) - 1101\(_2\) ...
A school girl spends \(\frac{1}{4}\) of her pocket money on books and \(\frac{1}{3}\) on dress....