The measures of a pair of consecutive angles of a parallelogram have the ratio 5:7. Find the measure of each angle of the parall
elogram.
1 answer:
5 : 7 = 5x : 7x
Sum of a pair <span>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 </span><span>parallelogram is 360⁰.
</span><span>75*2 + 105*2 = 360
360 = 360 True
</span>
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