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PLEASE HELP WILL MARK BRAINLIEST

Two angles are supplementary. The measure of one angle
is 16 more than two times the measure of the other
angle. How many degrees are in each angle?


PLEASE HELP WILL MARK BRAINLIEST Two Angles Are Supplementary The Measure Of One Angle Is 16 More Than Two Times The Measure Of The Other Angle How Many Degrees class=

Sagot :

Answer:

The angles are 54 2/3 degrees and 115 1/3 degrees

Step-by-step explanation:

make an equation for the angles x being one angle and y being the other

16+ 2x =y

Supplementary angles add to 180

x + y = 180

Fill in y with the first equation

x + 16 +2x =180

simplify

3x +16 =180

subtract 16 from both sides

3x = 164

divide both sides by 3

x = 54 2/3

Insert the value of x into the first equation then simplify

16 + 2(54 2/3) =y

16 + 109 1/3 =y

115 1/3 =y