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vlabodo [156]
3 years ago
14

An angle measures 44° more than the measure of a supplementary angle. what is the measure of each angle?

Mathematics
2 answers:
Masteriza [31]3 years ago
6 0
<span> the measure of each angle is 68*

</span>
andrew-mc [135]3 years ago
3 0

The <em>correct answers</em> are:


68° and 112°.


Explanation:


Let x be the measure of the smaller angle.


The larger angle would then be x+44.


Since the angles are supplementary, their sum measures 180°. This gives us the equation:


x+(x+44) = 180


Combining like terms, we have

2x+44 = 180


Subtract 44 from each side:

2x+44-44 = 180-44

2x = 136


Divide each side by 2:

2x/2 = 136/2

x = 68


The smaller angle measures 68°.


The larger angle is 44° more:

68+44 = 112°

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