Question

Find the values of x and y that makes these triangles congruent by the HL therom.

x=6,y=3
x= 3,y=2
x=3 ,y=6
x= 2,y=1

Answer 1

(1) x = 2y
(2) x + 4 = 3y + 1

subtitute (1) to (2)

2y + 4 = 3y + 1 |subtract 4 from both sides

2y = 3y - 3 |subtract 3y from both sides

-y = -3 |change the signs

y = 3

subtitute the value of y to (1)

x = 2 · 3
x = 6

Answer: x = 6 and y = 3.