Question

To show that ADB = CBD by AAS, what must be the value of x?

Answer 1

x=13

Explanation:

1)Set them equal to each other

6x-1=4x+25

2)Subtract 4x from both sides

2x-1=25

3)Add 1 to both sides

2x=26

4)Divide by 2

x=13

Answer 2

To show that ∆ADB is congruent to ∆CBD by AAS , the value of x must be 13

Congruent triangles are triangles with equal corresponding angles and equal corresponding side lengths

If ∆ADB is congruent to ∆CBD

then;

angle A = angle C

therefore;

6x - 1 = 4x + 25

collect like terms

6x - 4x = 25 + 1

2x = 26

x = 26/2

x = 13

Therefore, To show that ∆ADB is congruent to ∆CBD by AAS , the value of x must be 13