Ishall mark you brainliest for the right and well explained answer! i suck at this type of math : '( you'll get 10 point if you answer correctly!

Because line a is parallel to line b

Angle 6 would be the same angle as angle 2, which is 78 degrees.

Angle 5 is a Supplementary angle to angle 6, which means angle 5 added to angle 6 must equal 180 degrees.

To find angle 5, subtract angle 6 from 180:

Angle 5 = 180 - 78 = 102 degrees.

XY = 2 units

Step-by-step explanation:

Given that :

ΔEFG ≅ ΔXYZ

Then, segments :

EF = XY, FG = YZ and EG = XZ

GIVEN THAT :

E (0, 0), F (0, 2), and G (3, 0)

We can find the distance between coordinates E (0, 0), F (0, 2) to get the measure of XY since they are both congruent.

EF = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

x1 = 0, y1= 0, x2 = 0, y2 = 2

EF = sqrt[(0 - 0)^2 + (2 - 0)^2]

EF = sqrt[ 0 + 4]

EF = 2

SINCE EF = XY

XY = 2 units