The magnitude of the angles of a convex quadrilateral is 3: 2: 3: 4 find the smaller angle of the quadrilateral
| August 12, 2021 | education
The sum of the angles of a convex quadrilateral is 360.
Let the value of the angle ADC = 2 * X0, then, by condition, the angle BAD = BCD = 3 * X, angle ABC = 4 * X.
Then: 2 * X + 3 * X + 3 * X + 4 * X = 360.
12 * X = 360.
X = 360/12 = 300.
Determine the smallest angle of the quadrangle. Angle ADC = 2 * 30 = 60.
Answer: The smallest angle of a quadrilateral is 60.
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