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Anna [14]
3 years ago
10

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.
Mathematics
1 answer:
Margaret [11]3 years ago
4 0
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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