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.

Algebra ->  Angles -> 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.       Log On


   

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) About Me  (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

x%2B20%2Bx=90


2x%2B20=90 Combine like terms on the left side


2x=90-20Subtract 20 from both sides


2x=70 Combine like terms on the right side


x=%2870%29%2F%282%29 Divide both sides by 2 to isolate x



x=35 Divide



x%2B20 Now go back to angle 3

35%2B20 Plug in x=35

55 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

x%2B20%2Bx=180

2x%2B20=180 Combine like terms on the left side


2x=180-20Subtract 20 from both sides


2x=160 Combine like terms on the right side


x=%28160%29%2F%282%29 Divide both sides by 2 to isolate x



x=80 Divide




x%2B20 Now go back to angle 3

80%2B20 Plug in x=80

100 Add


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