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wlad13 [49]
3 years ago
8

Two angles are supplementary if their sum is 180 degrees. One angle measures two times the measure of a smaller angle. If x repr

esents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle. The smaller angle is __. The larger angle is __.
Mathematics
1 answer:
Serjik [45]3 years ago
8 0
The smaller angle is 60 degrees and the larger angle is 120 degrees.
x+2x = 180, 3x=180, so x = 60 and 2x = 120.
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Part A

Her steps were

-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{6}{17} \times \frac{3}{4}\\\\-\frac{6\times 3}{17\times4}\\\\-\frac{18}{68}\\\\-\frac{9}{34}\\\\

Kelsey made a mistake on line 3. Note how the 17/6 flips to 6/17. This is not correct. You keep the first fraction the same, but you do flip the second fraction. This only applies when you divide two fractions.

The third step should look like -\frac{17}{6}\times \frac{3}{4}

=======================================================

Part B

Here's what she should have written

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If you want to convert that improper fraction to a mixed number, then you could do something like this

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Or you could divide 17 over 8 using long division to get 2 remainder 1. The 2 is the quotient that goes to the left of the 1/8. The remainder of 1 is the numerator of 1/8.

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