Question

Help me on the bottom three please

Answer 1

`x=5,8,-8` respectively

Explanation:

• For Q.5, the two angles are supplementary, meaning they sum up to 180 so
• 
  `(12x+19)+(22x-9)=180\\ 12x+22x+19-9=180\\ 34x+10-(10)=180-(10)\\ 34x=170\\ x=5`
• For Q.6, the two angles are alternate exterior angles, meaning they are equal so
• 
  `10x-20=7x+4\\10x-(7x)-20+(20)=7x-(7x)+4+(20)\\3x=24\\x=8`
• For Q.7, two angles are consecutive interior angles, meaning they sum up to 180 so
• 
  `(-4x+5)+(-13x+39)=180\\-4x-13x+5+39=180\\-17x+44-(44)=180-(44)\\-17x=136\\x=-8`