The angles of a quadrilateral are 5x-30, 4x+60, 60-x and 3x+61.find the smallest of these angles
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Correct Answer: Option C
Explanation:
Sum of all 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 angles is :
5x - 30 = 65°
4x+ 60 = 136°
60 - x =41°
3x + 61 = 118°
Smallest of these angles is 41°
Sum of all 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 angles is :
5x - 30 = 65°
4x+ 60 = 136°
60 - x =41°
3x + 61 = 118°
Smallest of these angles is 41°