The measures of a pair of consecutive angles of a parallelogram have the ratio 5:7. Find the measure of each angle of the parallelogram.

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04-07-2018
Mathematics

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The measures of a pair of consecutive angles of a parallelogram have the ratio 5:7. Find the measure of each angle of the parallelogram.

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mkryukova19 mkryukova19 · Answer 1 · 2018-07-04T17:35:36+02:00

mkryukova19 mkryukova19

04-07-2018

5 : 7 = 5x : 7x

Sum of a pair of consecutive angles of a parallelogram = 180⁰.

5x+7x=180
12x = 180
x= 15

5x=15*5 = 75⁰
7x=15*7 = 105⁰

Two angles are 75⁰ each,
and 2 angles 105⁰ each.

Check:
Sum of angles in the parallelogram is 360⁰.
75*2 + 105*2 = 360
360 = 360 True

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