SOLUTION: hi how are you? please help to find the measure of angle 3 and measure of angle 5, if the M of angle 3=(x+20)o and M OF ANGLE 5 =X.

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Question 134200This question is from textbook fundamentals of maths
: hi how are you? please help to find the measure of angle 3 and measure of angle 5, if the M of angle 3=(x+20)o and M OF ANGLE 5 =X.
This question is from textbook fundamentals of maths

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Are these complementary angles (angles that add to 90 degrees)?

If so, then...

(Angle 3)+(Angle 5)=90




Combine like terms on the left side


Subtract 20 from both sides


Combine like terms on the right side


Divide both sides by 2 to isolate x



Divide



Now go back to angle 3

Plug in

Add


So the measure of angle 3 is 55 degrees and the measure of angle 5 is 35 degrees






OR...


Are these supplementary angles (angles that add to 180 degrees)?

If so, then...

(Angle 3)+(Angle 5)=180



Combine like terms on the left side


Subtract 20 from both sides


Combine like terms on the right side


Divide both sides by 2 to isolate x



Divide




Now go back to angle 3

Plug in

Add


So the measure of angle 3 is 100 degrees and the measure of angle 5 is 80 degrees


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