Question

What is the value of a in the figure shown below?E3.83.8Ax=D20Find angles in congruent trianglesC4.637°4.668°B

Answer 1

Given triangles ADE and ABC, you know that they are congruent.

By definition, two triangles are congruent when the measures of their corresponding angles are equal and the lengths of the corresponding sides are equal.

In this case, you can identify that:

`\begin{gathered} BC=DE \\ AC=AE \\ AB=AD \end{gathered}`

And:

`\begin{gathered} m\angle E=m\angle C \\ m\angle D=m\angle B \end{gathered}`

Then, knowing that:

`m\angle B=68\text{\degree}`

You can determine that:

`x=68`

Hence, the answer is:

`x=68`