2021
Mathematics
67ca00ce0c643c71d77dee1f
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 Answer: 60 - x
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°THIS WEEK's
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