Question

Triangle ABC is congruent with triangle CDA Find the value of the pronumeral x.

Answer 1

x = 25

Explanation:

Since the triangles are congruent then corresponding angles are congruent.

That is ∠ D and ∠ B are corresponding angles and congruent, thus

4x - 20 = 2x + 30 ( subtract 2x from both sides )

2x - 20 = 30 ( add 20 to both sides )

2x = 50 ( divide both sides by 2 )

x = 25