Step-by-step explanation:
let the angle be 3x + 5x + 9x + 13x
total angle = 360⁰
30x = 360
x = 360/30
x = 12⁰
therefore angles are
3*12=36⁰
5*12=60
9*12=108⁰
13*12=156⁰
plz marks me as brainliest
Given: The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13.
To find: All the angles of the quadrilateral.
The sum of interior angles in a quadrilateral is 360 degrees.
Let the angles of the quadrilateral be 3x, 5x, 9x, and 13x respectively.
The sum of all interior angles of a quadrilateral is 360°.
∴ 3x + 5x + 9x + 13x = 360°
30x = 360°
x = 12°
Hence, the angles are
3x = 3 × 12 = 36°
5x = 5 × 12 = 60°
9x = 9 × 12 = 108°
13x = 13 × 12 = 156°
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Verified answer
Step-by-step explanation:
let the angle be 3x + 5x + 9x + 13x
total angle = 360⁰
30x = 360
x = 360/30
x = 12⁰
therefore angles are
3*12=36⁰
5*12=60
9*12=108⁰
13*12=156⁰
plz marks me as brainliest
Step-by-step explanation:
Given: The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13.
To find: All the angles of the quadrilateral.
The sum of interior angles in a quadrilateral is 360 degrees.
Let the angles of the quadrilateral be 3x, 5x, 9x, and 13x respectively.
The sum of all interior angles of a quadrilateral is 360°.
∴ 3x + 5x + 9x + 13x = 360°
30x = 360°
x = 12°
Hence, the angles are
3x = 3 × 12 = 36°
5x = 5 × 12 = 60°
9x = 9 × 12 = 108°
13x = 13 × 12 = 156°