1 Answer

McNultyyy · Answer 1 · 2021-12-14T11:36:59+0000

Answer:

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
$(-4x+5)+(-13x+39)=180\\-4x-13x+5+39=180\\-17x+44-(44)=180-(44)\\-17x=136\\x=-8$

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