Question 13 Marks
The angles of a quadrilateral are in the ratio 2 : 3 : 4 : 6. Find the measures of these angles.
Answer
View full question & answer→Suppose the angles are 2x, 3x, 4x, and 6x.
We know that the sum of the angles of a quadrilateral is 360°.
$\therefore$ 2x + 3x + 4x + 6x = 360
15x = 360
x = 24
Therefore, the measures of the angles are 48°, 72°, 96° and 144°.
We know that the sum of the angles of a quadrilateral is 360°.
$\therefore$ 2x + 3x + 4x + 6x = 360
15x = 360
x = 24
Therefore, the measures of the angles are 48°, 72°, 96° and 144°.