Question Bank - General Aptitude

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Five line segments of equal lengths, PR, PS, QS, QT and RT are used to form a star as shown in the figure above.The value of ?, in degrees, is ______

A.
36
B.
45
C.
72
D.
108

Solution:

Given:PR = PS = QS = QT = RT Then ABCDEF will be regular pentagon?EAB = Sum of angles of pentagon/5? ?EAB = 540°/5 = 108° ? ?PAB = 180° “ 108° = 72°? ? + ?PAB + ?PBA = 180? ? + 72 + 72 = 180°? ? = 36°Option (a) is correct.

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