Question

Is anyone good with geometry? If yes, please show your work on these questions so i can see how its done. C:

Answer 1

(7)

if r perpendicular to s then angles 1,2,3,4=90 deg.

if t perpendicular to s then angles 5,6,7,8=90 deg.

If two different lines intersect a third line at the same angle then they must be parallel.

r and t intersect s at the angle 2=90 deg  and 6 = 90 deg, therefore r and t are parallel.

(6) use sum of angles in a triange =180 deg property.

first, the complement to 105 is an angle of 75 deg. then x=180-(24+75)=81 deg

x=81 deg

(5)

$\angle STU=180-\angle STR=180- \angle SRT \\\\\4x = 180-20=160\\\\x=40$

(4) sum of angles = 180 deg

62 +45 + k = 180

k = 180 -107  = 73

k = 73