VamL2909 VamL2909
  • 16-03-2018
  • Mathematics
contestada

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

Respuesta :

andypadron31 andypadron31
  • 16-03-2018
 the measure of each angle is 68*

Answer Link
MsEHolt MsEHolt
  • 20-07-2018

The correct answers 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°

Answer Link

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