Question

Please help me with 6-8 (step by step please)

Answer 1

6. Supplementary means when added together they equal 180 or a straight line.
So ∠A+∠B=180
6X+8+10x-20=180
16x-12=180
16X=192
X=12.
∠A=6(12)+8
∠A=72+8=80←
∠B=10(12)-20
∠B=120-20=100←

7. If j is between H and K then HJ+JK=HK
(8x-3)+(12x-5)=112
20X-8=112
20x=120
X=6←
Line HJ=8(6)-3
Line HJ=42-3=39←
Line JK=12(6)-5
Line JK=72-5=67←

8. Vertical angles are the "no adjacent angles" that are formed when two lines intersect, like ∠LSO and the one directly across from it (can't see those letters) or the angles on the top with S in it and directly under it.

:) I hope I helped :)