Question

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

Answer 1

Answer:

x=4

Step-by-step 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.

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

Answer 2

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