Angles of a quadrilateral are in the ratio of 1:2:3:4, determine the measure of each angle
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Let thw angles of quadrilateral in the ratio 1 : 2 : 3 : 4 be x, 2x, 3x and 4x
Sum of all angles of a quadrailateral = 360°
According to the question,
x + 2x + 3x + 4x = 360
10x = 360
x =
x = 36
1st angle => x
=> 36°
2nd angle => 2x
=> 2 × 36
=> 72°
3rd angle => 3x
=> 3 × 36
=> 108°
4th angle => 4x
=> 4 × 36
=> 144°
∴ The anglea of the quadrailateral are 36°, 72°, 108° and 144° respectively
Sum of all angles of a quadrailateral = 360°
According to the question,
x + 2x + 3x + 4x = 360
10x = 360
x =
x = 36
1st angle => x
=> 36°
2nd angle => 2x
=> 2 × 36
=> 72°
3rd angle => 3x
=> 3 × 36
=> 108°
4th angle => 4x
=> 4 × 36
=> 144°
∴ The anglea of the quadrailateral are 36°, 72°, 108° and 144° respectively
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Answer is in the attachment..↗↗
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