Mathematics help needed with Complementary and Supplementary Angle Problems

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1)An angle is 40 degrees larger than its supplement. What are the measures of the two angles?

2)An angle is 67 degrees smaller than its supplement. What are the measures of the two angles?

3)The ratio of the measures of two supplementary angles is 1/5. What are the measures of the two angles?

4)The ratio of the measures of two supplementary angle is 4x-10/5x=1. Find the value of x.

Nov 3rd, 2015

Thank you for the opportunity to help you with your question!

1) x -(180-x)  =40 

x = 110 

2) 

x-(180-x) =-67

2x = 180-67

x = 113/2 = 56.5 

3)x/(180-x) = 1/5 

5x = 180-x 

x = 30, 180-x = 150

4) 4x-10 = 5x ???

x =  

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 3rd, 2015

4)The ratio of the measures of two supplementary angle is 4x-10/5x+1. Find the value of x.

Sorry Typo...

Nov 3rd, 2015

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Nov 3rd, 2015
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