Question
The ratio of three consecutive angles in a cyclic quadrilateral is 2:3:4. Find the largest angle of the quadrilateral, in degrees.
Answers
Steve
Since opposite angles are supplementary, we have
2x+4x = 180
x = 30
and the angles are 60,90,120,90
2x+4x = 180
x = 30
and the angles are 60,90,120,90
Nebiyou
60&120
AoPS
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Ruhama
2x+4x=180
6x=180
X=30
6x=180
X=30