8. If angles of a quadrilateral are in the ratio 1:2:3:4. Find the
measure of all angles of a quadrilateral.
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Qᴜᴇꜱᴛɪᴏɴ :
❥ If angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4 . Find the measure of all angles of a quadrilateral.
ᴀɴꜱᴡᴇʀ :
➩ Let the measure of angles be x , 2 x , 3 x and 4 x.
We know that sum of measure of all four angles is 360⁰ .
∴ x + 2 x + 3 x + 4 x = 360⁰
⤍ 10 x = 360⁰
⤍ x = 36⁰
⤍ 2 x = 2 × 36⁰ = 72⁰
⤍ 3 x = 3 × 36⁰ = 108⁰
⤍ 4 x = 4 × 36⁰ = 144⁰
⤍ The measures of angles of quadrilateral are 36⁰ ,72⁰ ,108⁰ and 144⁰ .
➩ We can see measure of all 4 angles are different so, the given quadrilateral is trapezium.
Hope it helps uhh !! ♥
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