The angles of a quadrilateral are 5x-30 4x 60 6... - JAMB Mathematics 2021 Question
The angles of a quadrilateral are 5x-30, 4x+60, 60-x and 3x+61.find the smallest of these angles
A
5x - 30
B
4x + 60
C
60 - x
D
3x + 61
correct option: c
Sum of the 4 angles of a quadrilateral = 360°
(5x-30) + (3x + 61) + (60-x) + (4x+ 60) = 360°
11x + 151 = 360°
11x = 360 - 151 = 209
x = 209/11 = 19°
Each angle:
5x - 30 = 65°
4x+ 60 = 136°
60 - x =41°
3x + 61 = 118°
The smallest of the angles is 41°
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