how do i solve?

Question

 

 

 _{1   2 ,   1 =,  2 =} 

Find the measurements of the angles given below.

Hint: Determine the value of  first.

 1 =   degrees

 2 =    degrees

 3 =    degrees

 4 =    degrees

 5 =    degrees

 6 =    degrees

 7 =    degrees

 8 =    degrees

 =  

 

Answer 1

Since angle 1 and 2 together make 180°, 4x-10+3x+10=180 -> 7x=180 -> x=180/7=25 5/7 Using that, you can determine angles 1 and 2 and from them all the other angles.

Answer 2

〈1 + 〈2 = 180

4x - 10 + 3x +10 = 180

7x = 180

x = 25.714

m〈1 = 92.857°

m〈2 = 87.143°

m〈3 = 92.857°

m〈4 = 87.143°

m〈5 = 92.857°

m〈6 = 87.143°

m〈7 = 92.857°

m〈8 = 87.143°

x = 25.714