Answer:
x = 6
Step-by-step explanation:
Since triangle FDR is congruent to triangle TGH, you will put them to equal each other and solve for x.
triangle FDR = 2x + 6
triangle TGH = 8x - 30
2x + 6 = 8x - 30
2x + 6 - 6 = 8x - 30 - 6
2x = 8x - 36
2x - 8x = 8x - 8x - 36
-6x = -36
-6x / - 6 = -36 / -6
x = 6
Now that you have find x, we will check if the statement is true that triangle FDR is congruent to triangle TGH. Plug 6 in the x place.
triangle FDR :-
2x + 6
2(6) + 6
12 + 6
18
triangle TGH :-
8x - 30
8(6) - 30
48 - 30
18
So this makes the statement true that triangle FDR is congruent to triangle TGH. Hope this helps, thank you :) !!
