Question

If ADAB

ACBA,
ZDAB = 35° and ZCBA = 8x + 3
A
D
x = [?]
X
C
B

Answer 1

The answer is 4 because you have to solve 35=8x+3 by removing 3 so it makes 32=8x and then divide by 8 which makes 4

Answer 2

x=4

Explanation:

We are given that the triangles are congruent.

Specifically, the order of the letters gives that the angles ∠DAB and ∠CBA are corresponding parts of the two congruent triangles. Since corresponding parts of congruent triangles are themselves congruent, ∠DAB ≅ ∠CBA. Thus, m∠DAB = m∠CBA.

Given the expressions for the two angles, we can substitute into the equation, and solve for the requested variable.

`m\angle DAB=m\angle CBA\\(35)=(8x+3)\\(35)-3=(8x+3\!\!\!\!\!\!\!\!\!\!{--})-3 \!\!\!\!\!\!\!\!\!\! {--}\\32=8x\\\frac {32}{8}=\frac {8x\!\!\!\!\!\!\! {-}}{8\!\!\!\! {-}}\\4=x`