Question

If AACB = ADCE, ZCAB = 50°,ZDCE = 45°, and ZCDE = 10xDcX = [?]BEnter

Answer 1

We are given the image of two triangles that are congruent. To solve for x we draw the triangles to indicate the given angles.

A triangle is a polygon. Polygons are congruent when they have the same number of sides and all corresponding sides and interior angles are congruent.

Since the angles are congruent we can have the assumption below:

`\begin{gathered} \text{CDE}\cong\text{CAB} \\ \therefore10x=50 \\ x=(50)/(10) \\ x=5^0 \end{gathered}`

Therefore the value of x is

ANSWER: 5 degrees