In quadrilateral ABCD, the ratio of the measures of the angles is 3:4:5:8. Find the measure of the smallest angle.

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20-01-2021
Mathematics

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In quadrilateral ABCD, the ratio of the measures of the angles is 3:4:5:8. Find the measure of the smallest angle.

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anji21abayakoon anji21abayakoon · Answer 1 · 2021-01-20T14:48:24+01:00

anji21abayakoon anji21abayakoon

20-01-2021

answer: 54.

3x + 4x + 5x + 8x = 360 as the sum of the four angles in a quadrilateral equals to 360. when we solve for x , we get x as 18. since 3x is the smallest angle out of the four,
3x18=54 is the smallest angle.

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