Question

In the diagram, DEFG is congruent to SPQR. Find X and Y. ( added the diagram underneath.

Answer 1

Answer:

Just simply looking and analyzing the figure we can get the correspomding angles and sides which are always equal if triangles are congruent.

If DEFG is Congruent to SPQR,

Then, Triangle GFE is also congruent to the traingle PQR and we know that corresponding sides and angles are always equal in congruent triangles.

So,

6y + x = 68 --- eq-1.

2x -4 = 12

x = (12 + 4) ÷ 2

x = 16 ÷ 2

$\boxed {x = 8}$

Putting the value of x in eq.1

6y + 8 = 68

6y = 60

$\boxed {y = 10}$

**Therefore, The value of X and Y is 8 and 10 respectuvely.

Answer 2

Answer:

x=8, y=10

Step-by-step explanation:

Since DEFG is congruent to SOQR

QR=FG

2x-4=12

2x=12+4

x=16/2=8

also, angle F= angleQ

68°=(6y+8)°

68°-8=6y

60°=6y

y=60/6=10°